In addition to the things already recommended, I've managed to play Indigo Prophecy and Heavy Rain with Eddy as date games pretty successfully. They're story-heavy adventure games with no real combat, not RPGs, but otherwise they are quite good, and work well if you're looking to hand the controller back and forth with someone.
(it looks like Heavy Rain is PS3-only, but Indigo Prophecy seems to have an Xbox 360 version.)
Persona 3 and 4 are amazing, but they've got a very different feel than Bioware games, plus they're not Xbox compatible. They're literally dating sims with a dungeon crawl and save-the-world storyline, but dialog decisions tend to come down more to saying the optimal thing to score points with an NPC rather than roleplaying your character, which can be frustrating.
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(it looks like Heavy Rain is PS3-only, but Indigo Prophecy seems to have an Xbox 360 version.)
Persona 3 and 4 are amazing, but they've got a very different feel than Bioware games, plus they're not Xbox compatible. They're literally dating sims with a dungeon crawl and save-the-world storyline, but dialog decisions tend to come down more to saying the optimal thing to score points with an NPC rather than roleplaying your character, which can be frustrating.