When I think of fighting games with something to offer the single player experience, I think about rewards on my investment of time. Was the game worth playing through? Do I find these characters and this world interesting enough to want to know more about it? At the very least, was there any unlockable content I opened up as a result?
So, with that in mind, here are mine. Note that I'm not endorsing, specifically, the quality of these fighting games. I'm simply saying that as someone who appreciates aesthetics in games, I was compelled to play these games in 1P for the creative aspects and/or the various unlockables.
Fatal Fury, Fatal Fury Special, Fatal Fury 3, RBFF
Garou: Mark Of The Wolves
Art Of Fighting 2, Art of Fighting 3
Samurai Shodown, Samurai Shodown 2, Samurai Shodown 4, Samurai Shodown 5
Last Blade, Last Blade 2
KOF 94, 95, 96, 97, 99. 2K, 2K1, 2K3, XI, MI, MI 2
SvC Chaos
Super Street Fighter 2 Turbo, SSF2T HDR
Street Fighter Alpha, Street Fighter Alpha 2, Street Fighter Alpha 3
Street Fighter 3 Giant Attack, Street Fighter 3 3rd Strike
Street Fighter 4, Super Street Fighter 4
Capcom Fighting Jam
X-Men: Children of the Atom
Marvel Super Heroes
X-Men vs. Street Fighter
Marvel vs. Street Fighter
Marvel vs. Capcom
Marvel vs. Capcom 3
Tatsunoko vs. Capcom
Final Fight Revenge
Rival Schools
Rival Schools: Project Justice
Star Gladiator
Star Gladiator 2
Tekken-whole series
Dead or Alive-whole series
Soul Calibur-whole series (including Soul Edge)
Evil Zone (OLD PSX/PSOne game)
Bushido Blade 2
Bloody Roar-whole series
Tech Romancer
These fighting games have great aesthetics and I want to eventually play through them for the story mode and unlocks. To this point, I've only dabbled:
Guilty Gear
Blazblue
Warzard