I actually enjoyed the Tomb Raider reboot quite a bit (on PC). I've heard criticism of Lara's rapid change from random archaeologist into a superhuman killing machine, but for whatever reason it didn't bother me (not sure why, in other games it might have, but something about the reboot captured my imagination in a way that got me hooked and kept me engaged--except for during a few poorly thought out cut scenes--from start to finish).
I also really like Alpha Protocol. The combat isn't great, but it's serviceable enough to not break the game (for me at least). Some of the "suave" dialogue options make me wince, but as I usually take the professional stance, that doesn't matter much to me. It's a bit difficult to explain why I like AP so much, but something about it is extremely engaging. It's one of the few games I've played through 10+ times, and I never get bored of it. I've heard some people complain about bugs, but I've never encountered any (seriously, for me it's one of the smoothest games I've ever played). Anyway, it sold poorly, so you can usually pick it up for like $5.00 or less in a Steam sale.
Deus Ex: HR is a game that I didn't like much at first. I don't think the game was optimized properly when it was ported to the PC or something, 'cause trying to aim with the mouse always feels like aiming with an analogue stick (irritating to someone used to the normally much more precise aim of mouse and keyboard shooters). Also, you have to optimize yourself for combat to get through the boss fights (unless you want to spend an hour or more slowly chipping away at them), which is irritating as the game otherwise does a great job of recreating the open level design of the original. Once I got used to these obstacles, however, I had a great time. Definitely one of the more memorable games I've played in recent years.
Mass Effect 2: My favorite of the series. ME2 is certainly not a perfect game; the combat is a bit sluggish, you have a tendency to get stuck to walls or accidentally vault out of cover and die since they made one button handle all of those actions, and the plot makes little sense (although that's the case in all 3 games). The setting, however, is what really drew me in. From the grim, cyberpunk alleys of Omega to lush jungle worlds, the game sends you to a plethora of varied locals, all beautifully rendered in modern 3D graphics. While the overall plot is only so-so, the individual interaction with your companions is a lot of fun. Each companion's side story gives you a window into the lives of the inhabitants of the ME universe.
For strategy, Civilization V + expansions is pretty fun. I prefer Civ IV + the Rise of Mankind: A New Dawn modpack, but Civ V is definitely worth trying.
Fallout New Vegas is also worth trying out. It's not everyone's cup of tea, but if you've ever played Fallout 2, NV definitely recaptures its feel (both in terms of dialogue/humor and area/quest design). Also, on PC there are 900 bajillion mods for it.
I enjoyed Shadowrun Returns quite a bit, but lots of people seem to have nothing but unbridled contempt for it, so I guess it depends on the person. Maybe save that one for a Steam sale as well.
