(When you say no online, do you mean no Gold membership or no online access period? My post is going to assume no Gold membership. If you mean no online period, I highly recommend finding a way to at least temporarily access the online service for demos and XBLA games.)
Mass Effect should be your first priority. Get it now.
Even though you don't like first-person shooters, download the BioShock demo. The demo is very well-done and should tell you if the game is for you; it's much more than just an FPS.
For action-adventure, Assassin's Creed and Prince of Persia are both love-it-or-hate-it games. Look into them and see whether either one might be for you. Personally, I greatly enjoyed both of them.
I see you already have Gears of War. If you have any friends who enjoy shooters, I highly recommend playing the split-screen co-op. It really takes the game to a whole new level. You also have Fable II; my only recommendation there is for your wife to try it out. I know several women who aren't into RPGs, but absolutely love Fable II.
As for XBLA, I recommend checking out the trial versions of Braid, Geometry Wars: Retro Evolved², Pac-Man Championship Edition, and Prince of Persia Classic. It also looks like you don't have Puzzle Quest on one of your other gaming systems. If you haven't tried it out, do so; both you and your wife might enjoy it.





















