You'll have to forgive me for still being on my manga research kick. It's just such a novelty, y'know? I don't know about the rest of the world, but I felt so starved for video game ephemera as a youngster it was a blessing to see any video game franchise as merchandise, as a comic, whatever. I'm not sure if we even had Nintendo comics published in the UK, Nintendo Power and Valiant being such American staples; the closest we got were the two Sonic the Hedgehog comics and the occasional surprise in other magazines such as Max Overload, but it was slim pickings.
And then you turn to Japan and it seemed like it was coming down in video game media - more than I can count in the '80s alone! Whether or not they were good is a whole other matter, but seeing obtuse one-and-done games like Star Force or Pirate Ship Higemaru getting a manga treatment just seems wild... and they're darn near undocumented online. I could argue they're interesting little nuggets of history, but I think that's just me trying to sugar-coat my big dumb obsessions.
Just on a lark, I figured I'd make a somewhat chronological list of serialised Mario manga from 1985 to the mid-2000; I'd already been keeping tabs on these in my notes for Scans & Bits, but there was no point making proper sections for them until I had actual material of my own to share. It wouldn't surprise me if there's more out there; if working on the Bomberman media section has taught me anything, the moment you think you're 100% comprehensive, three more obscure manga appear out of the woodwork!
Famicom Hissho Technique-Kan
(ファミリーコンピュータ必勝テクニック完)
various artists,
Wanpaku Comic (わんぱっくコミック), 1985 ~ 1989

Wanpaku Comic was a magazine similar to CoroCoro Comic that featured video game manga, including a
variety of Mario and Mario-adjacent games like Wrecking Crew. Not
a Mario series so much as walkthrough-esque one-offs
from a variety of artists, but it's a nifty look at lovingly illustrated
versions of the wonky early-days character designs.
Super Mario-kun
(スーパーマリオくん)
Hiroshi Takase (嵩瀬ひろし),
Shogaku Ichinensei (小学一年生), 1986 ~ 1998

(image source: retromag1970)
Is this the earliest dedicated Mario manga?? I can't speak for the earliest stories since I don't
think they've ever been rereleased (and any issue of the Shogakukan learning
magazines from 1985 to 1999 tends to sell for funny money), but what I've seen looks like
extremely simple stories for little kids with the occasional puzzle thrown into
the mix.
Super Mario-kun
(スーパーマリオくん)
Daisuke Shigoto (しごと大介),
Shogaku Ninensei (小学二年生), 1986 ~ 1987

No relation! The childish "-kun" suffix is just an easy go-to title, it seems.
Short and kid-friendly capers between Mario, Peach and Bowser, who all act like
petty dopes. Of the stories I've seen, those three are the only defined
characters, with Toads and other baddies serving just as page filler - Luigi
doesn't even get a look in!
Ganbare Mario
(がんばれマリオ)
Tatsuhiko Matsuda (松田辰彦),
TV-kun (てれびくん), 1986 ~ 2001

(image source: saibookssapporo2)
A light-hearted comedy adventure series, looking almost like a prototype
Super Mario-kun - the CoroCoro Comic one! As far as I can tell the serialised
stories appear to be straightforward adventures sometimes recapping the games
(including
Super Mario Bros. 3), while what I've seen of the
books from Super Mario World onward look to have the
occasional puzzle page chucked in for spice.
Super Mario
(スーパーマリオ)
Kazuki Motoyama (本山一城),
Comic Bom Bom (コミックボンボン), 1988 ~ 1998

An especially irreverent take on Mario starting from Super Mario Bros. 3, with
new takes on existing characters, oodles of bizarre pop culture references, and
even allusions to western Mario media. It's somewhat well-known if just because
almost every volume is on Imgur. I have to commend it for daring to have a
story arc about Wario's Woods, of all games! It's about the NES version,
sadly, so no manga appearance for my boy
Lizardon.
Super Mario-kun
(スーパーマリオくん)
Yukio Sawada (沢田ユキオ),
CoroCoro Comic (コロコロコミック), 1990 ~ still ongoing!

The one everyone thinks of when they hear about Mario manga. To be fair,
it has been running non-stop since 1990, sprouted a bunch of spin-offs and even got immortalised as a
costume in Super Mario Maker, so it's nothing if not prolific. It's full
of craziness and juvenile humour, particularly gags about bums and willies,
which companies and shareholders in Japan seem a lot more okay with than over here.
Tobidase! Mario
(とびだせ!マリオ)
Goro Yamada (山田ゴロ),
TV Magazine (テレビマガジン), 1991 ~ 2006

(image source)
For a series that ran for 15 years, there's shockingly little imagery of
it online! It's likely yet another comedy adventure series for tykes, one with a
particularly loose art style that definitely covered
Super
Mario 64 and
Yoshi's Story
during its run.
Yoshi-kun
(ヨッシーくん)
Michi Ueda (うえだ未知),
Shogaku Ichinensei (小学一年生), 1991 ~ 1997

(image source: noomanossi)
Mario's new pal Yoshi gets his own starring series! Initially a Super Mario
World tie-in until 1994, then reformatted to shill Yoshi's Island in
1995 with Baby Mario along for the ride. What little I've seen appears to be another puzzle page comic for
tiny little readers. The same author also did a short-lived Mario spin-off "Totsugeki! Super Mario-kun"
in 1994, and two episodes of "Super
Donkey Kong-kun" in 1995, likely in much the same style.
Otenba ♥ Peach-Hime
(おてんば♥ピーチ姫)
Sayuri Jiyou (じようさゆり),
Shogaku Sannensei (小学三年生), 1992 ~ 1994

(image source)
4-koma starring a squat tomboy Princess Peach who's either playing pranks
on her pals or succumbing to some comic pratfall. Apparently more than one of
the comics has her dousing her friends in animal piss. That's charming, that is.
Super Mario: Makai Teikoku no Megami
(スーパマリオ 魔界帝国の女神)
Kazuyoshi Kawai (河合一慶),
CoroCoro Comic (コロコロコミック), 1993
A one-off manga published in an extremely rare 1993 Spring special of CoroCoro Comic,
apparently based on Super Mario Bros.: The Movie, or "Goddess of the
Demon World Empire" as it's subtitled over there. The only proof I've got
of its existence is a record on a
CoroCoro manga index
(under "93年夏休み増刊") I sincerely doubt it'll
live up to expectations, but my life force has drained every day ever since I
learnt of it and no one's shared it.
Mario & Donkey Daibouken
(マリオとドンキー大ぼうけん)
Ritsuko Kawai (河井リツ子),
Shogaku Ichinensei (小学一年生), 1995 ~ 1999

This focuses on Mario and Donkey Kong partnering up to save the day, until Mario
went solo after its change of format in 1998 to "Mario no Bouken Land".
It's yet another puzzle page comic, wrapping tiny nuggets of story around
two-page spreads of maze games, spot the differences and other activities. It's
notable for exploring the whole gamut of Mario canon, including jaunts into
Wario Land 2 and even Diddy Kong Racing, and featuring incredibly
adorable art by the creator of Hamtaro.
Super Donkey Kong
(スーパードンキーコング)
Kouya Anna (公弥杏捺),
Monthly Manga Boys (月刊マンガボーイズ), 1995

A five-episode adventure based on Donkey Kong Country, from DK's first
meeting with little pal Diddy to the whole Kong clan clobbering K.Rool's crew. Its collected
edition proposes "to be continued?" on its back with an image of Dixie Kong, who
otherwise never appears in the series - as far as I know the author never did
get to follow up on the Kongs. A pity, since it's wonderfully illustrated.
Super Mario Gaiden: Hige to Boin to Hige
(スーパーマリオ外伝 ひげとボインとひげ)
Tamikichi Sakura (桜玉吉),
Shogaku Rokunensei (小学六年生), 1995

(image source)
A particularly offbeat take on Mario where everyone is drawn as the
closest thing to stick figures. Features some bizarre mundane humour (seemingly
in the vein of the author's
4-koma work) and a penchant for
unexpected appearances, like Peach dressing up as Samus Aran and Kirby using
Koopa's bath. Only ran for two episodes as far as I know, but later collected in
a Yoshi's Island anthology.
Uho Uho Donkey-kun
(ウホウホドンキーくん)
Yumiko Sudo (須藤ゆみこ), CoroCoro Comic (コロコロコミック), 1995 ~
1998

A Donkey Kong manga spanning the three Donkey Kong Country games. Your
typical light-hearted adventure japes starring chimps that look nothing like
chimps.
GOGO! Mario World
(GOGO!マリオワールド)
Atsuko Katomoto (兼本あつこ), Monthly Shonen Gag OH! (月刊少年ギャグ王), 1997
~ 1999

(image source)
A 4-koma series with a strange twist on the formula, depicting Mario as a
violent and oppressive figure who bullies his friends and foes alike, even
spraying Luigi and Yoshi with sulphuric acid according to a
Japanese review!
Bowser, meanwhile, is a comparatively warm-hearted sort who has feelings for
Peach. You'd hardly believe it based on the cutesy book covers. The series seems
pretty rare and I can't find any images of the manga itself, so I've just got to
take this fellow's word for it.
Donkey Kong: Uho Uho Dai Shizen Gag
(ドンキーコング ウホウホ大自然ギャグ)
Makoto Hijioka (ひじおか誠), CoroCoro Comic (コロコロコミック), 1999 ~ 2001

More goofball antics with the DK crew and Kremling clan. This series is
partially based on the French CGI animated series which had just begun broadcast
in Japan at the time, featuring its designs for the likes of Funky Kong and
Candy Kong, as well as otherwise cartoon-exclusive characters such as Bluster
Kong and Kaptain Skurvy. It also introduces the cast of Donkey Kong 64;
this is the one ya'll probably know where
Lanky Kong dies. (no he doesn't die he just fell in a hedge
sorry to spoil the joke)
Dr. Mario-kun
(ドクターマリオくん)
Kei Aoki (あおきけい) and Maru Mika (みかまる), Comic Bom Bom (コミックボンボン),
2003 ~ 2007

Dr. Mario and Nurse Peach use super-powered pharmaceuticals to resolve crises in
the Mushroom
Kingdom, usually villainous schemes from Bowser or Wario, or sometimes bizarre
transformative influenzas courtesy of the Viruses. No, really, it's mad about
transforming people - turning people into bugs, turning people into inanimate
objects, making people buff, making people fat... it's too cheap a gag to say
"someone's got a fetish for this," but you could argue the Mario series is all about
transforming, innit? The Super Mushrooms, the costume-changing power-ups, the
entirety of Wario Land 2 and Yoshi's Island...! The authors later found success with a long-running Kirby manga in Dengeki
Nintendo DS, so the transformative stuff probably found a home in a series where
the hero eats people to get new threads.
I'm currently on a foolish endeavour to try and collect the series in full, and
I'm a little over halfway there. I'll keep you posted!
Himemaru no Game Tenkomori!
(ヒメマルのゲームてんこもり!)
Kagemaru Himeno (姫野かげまる), Famitsu Cube + Advance
(ファミ通キューブ+アドバンス), 2005
Not a Mario series, but a comic strip about author stand-in Himemaru recapping
her experiences while playing the latest games. Apparently two
Mario Tennis
and two Mario Party games were covered as part of the series. It's probably the most on-model
the characters have ever looked in manga form, so that's a novelty.
Go!! Go!! Mario Kart
(ゴー!!ゴー!! マリオカート)
Shin Ogino (おぎの しん),
Famitsu Cube + Advance (ファミ通キューブ+アドバンス), 2006

An unexpectedly anime-looking approach to Mario, serving up shonen-style racing
drama on the mean streets of Mario Kart DS. Characters tune their cars,
rivalries and alliances form on the track, and half the racers are colluding to
stop Mario from winning. Mario and Peach might not look much like themselves,
but it's nothing if not dynamic.
Peach no Daiboken!?
(ピーチの大冒険!?)
Kazumi Sugiyama (すぎやまかずみ),
Famitsu Cube + Advance (ファミ通キューブ+アドバンス), 2006 ~ 2007

A particularly light-hearted and silly series based on Super Princess Peach,
who giddily glides her way through the game's locales and challenges. The art's
a bit wobbly, but it's charming enough.
GOketsu Wario
(GOケツワリオ)
Akira Yamanaka (山中あきら),
Dengeki Nintendo DS (デンゲキニンテンドーDS), 2007 ~ 2011

The author of Spider-Man J brings you slapstick-heavy adventures with Wario and
the cast of Master of Disguise! A bit of episodic treasure-of-the-day nonsense
with some terrific comic illustrations, and putting the spotlight on
characters that were never acknowledged again. It reformatted in 2008 for
Wario Land: The Shake Dimension with Wario schmoozing aboard the ship of
a redesigned
Captain Syrup. It maintains the same slapstick nonsense all the way through,
though I confess the Master of Disguise stories have an even greater
comic edge compared to the later stuff in my opinion; its human characters make
funnier targets for physical comedy than the bumbling Bandinero. Not that I'd turn my nose
up at any Wario content, mind.
Oshiete! Kinipio
(教えて!キノピオ)
Udon Tanaka (たなかうどん),
Dengeki Nintendo DS (デンゲキニンテンドーDS), 2008 ~ 2009

A two-page comic feature alongside an explanatory section of the magazine
outlining features on Nintendo hardware, how they're used and what you can use
them for, such as the Mii Channel, the DSi camera and more. The comic pages
feature allegedly-comical misinterpretations courtesy of Toadsworth and crew.
As far as I can tell, although CoroCoro's Super Mario-kun is still going strong, new series appear to have dried up in the 2010s. And this isn't even getting into 4-koma anthologies, prose stories, comics that were only released as books or part of strategy guides...!
I won't lie that I'd love to see more of these
scanned and archived in some way. Although trivia blogs like
Supper Mario Broth and
Forest of Illusion have helped
raise awareness for obscure Japanese media we'd otherwise be oblivious to,
efforts to archive or translate them have been a bit scattershot, at least in
regards to manga... and naturally, considering that's a legal landmine
(especially with Nintendo on the warpath over ROM sites lately). It'd be nice
for folks to experience Super Mario-kun - one of them, any of them! -
with more knowledge than just speculating off pictures or individual chapters.
Hell, half the series here have never been reprinted in book form, and those
that have aren't even comprehensively or are growing rarer and more expensive as
the years go on! A good chunk of TV Magazine issues are available for cheap on
Mandarake, it's mighty temping to stockpile on it and start archiving
Tobidase! Mario... but I think I've taken on enough foolhardy projects for
one lifetime. If someone wanted to chip in on the costs, maybe...!
Anyway, that's one way to fill a couple of evenings! I could go out more instead... or I could make a start on my list of top 5 most handsome Bowsers. Hmm!