Alot of the stuff I play already falls into that category, although...
Fire Emblem Series- I like the characters, and most of the artwork are anime so I don't see why this isn't done cause I think it would be cool.
Chrono Trigger/Cross- As much as it wouldn't happen the idea hasn't crossed my mind.
Megaman X Series- Even though I consider X5 the end of the X series seeing an anime with decent actors and not be like that megaman series that used to be shown on tv then I think they got something going.
Shin Megami Tensei Persona 3/FES- Persona 4's got an anime series why not make one for 3? or Persona 1 or even Persona 2, or even some form of Shin Megami Tensei Show though highly Mature rated it'd still be awesome to see.
Uncharted - I read the comic's on Playstation Network the art style was good and the series is enjoyable so that would be an interesting idea.
Eternal Sonata- Again interesting art style but what got me really into the game was the music and a bit of history about the main character's musical achievements between chapters along with the decent voice acting and musical puns that would be something, again I'd love to see but the chances of that are zero to none.
Those are my choices I mean, I'm sure there's more but I can't think of anymore at the moment.
they acturally had a mega man cartoon series for a while I think.