Fallout New Vegas (arguably better than Fallout 4 if you're not a fan of base-building)
Dark Souls (and maybe Dark Souls 2 if that's on PS3, but I'm not sure)
Dragon Age: Origins
Ni no Kuni (JRPG I've never played but always heard fantastic things about)
Eternal Sonata
the Mass Effect games are fucking amazing to play, but the endings pretty much always disappoint. I don't mind the way the games handled endings because I had a blast playing them, but a lot of folks always seem to be pissed when they finish.
Also, the obligatory Elder Scrolls Oblivion and Skyrim. Fallout 3 too, if you want, but seriously... New Vegas is the better one.
[Edit: That moment when you realize the thread you just responded to is over a year old.... Whoops...]