I only know PC games, but definitely F.E.A.R. (First Encounter Assault Recon) and Stalker. Swat 4 is supposed to be good, and can be picked up cheap; I got that and the expansion for $5 or $6 each but haven't loaded them yet. Aliens vs Predator 2 is still excellent, although the graphics will be dated. Rainbow 6: Vegas isn't too bad, but get it cheap. Battlefield 2 is good multi-player, and should be cheap. Doom 3 is okay if you get it cheap, but it gets repetitive fairly quickly. Painkiller is good, and Far Cry is excellent - again, cheap. Those are all FPS, about the only thing I play.
And your English is excellent. Pronunciation may be difficult coming from a different language group -although English doesn't seem so diferent from German, if you speak that -but it's a big country; I have a hard time being understood (or at least not being ridiculed) in some parts of it. Some Americans are jerks, and we have a rule in America that all jerks, asshats, and hooting dickholes are immediately issued an XBox 360, a PC, and Internet access. Ignore them and rest assured they speak not a word of Icelandic.