You kids these days...
no ability to look up these things. Well, as someone who watches entirely too much anime:
Persona: There is an anime of this, and it's even recent
Fire Emblem: old anime of this
Xenosaga: anime of this too
Megaman: seriously guys? Rockman is well known in japan
Devil May cry: yeah, the anime was pretty weak
Zelda: this is like old school stuff
inb4
Chrono Trigger: an OVA, and it had nothing to do with the story really
Final Fantasy: advent children, legend of the crystals, that thing with the dude with the gun... it can go on and on with anime that has nothing to do with any of the games
Metroid: It's a stretch, but Captain N the game master
Dark Stalkers: anime done here too
Jojo's Bizarre adventure: why am I even mentioning this? does anyone know it?
.hack: seriously, the games came packaged WITH the OVA of the anime
Arc the lad: whole anime series of this one
Magic Knight Rayearth: If you, like me, own a copy of one of the final saturn games to come out, there are two seasons of anime for this
Shin Megumi Tensei: another old anime for a classic series
Beserk: there is a kickass anime for this dreamcast classic
Star Ocean: anime based on the second game
Tales of...: pretty much all the tales games have an anime as well
Valkyria Chronicles: watching this anime makes me wish I had a ps3
Zone of the Enders: nothing to do with the game, for the most part
Street fighter: anime based on SF2, much better than the live action movie
Blue Dragon: based on the xbox360 game that nobody really liked
Wild Arms: Filgaia yet again, in anime form
I would totally go for a Fallout 3 anime