I can't find where I read the info, but the picture of those characters is right here. (Quick warning: Don't click this link if you don't want to get spoiled about the design of two major characters from the second game.)
Oh, duh, I made a post about it here: http://www.neogaf.com/forum/showpost.php?p=199269928&postcount=3638 (SPOILERS)
So yes, the anime will absolutely cover games 1 & 2. And I'm fairly sure they never mentioned Trials and Tribulations, so that's the info we have right now.