THIRD PERSON [for those who feel nauseated when playing 1st person games, or for those who like seeing the character they play + who appreciate the excellent programming and long-term effort it takes for such a feat - all of which include me]
PC [for those who have a computer and don't want to waste their money buying any solely gaming console]
Most of these are action-adventure games: the best kind. =)
The Tomb Raider Series
The Assassin's Creed series
Tom Clancy's Splinter Cell series
There are probably some I'm missing, or that I just can't remember right now.
If you can recall some you think are brilliantly made - and are indeed PC 3rd person games, please, feel free to add them in the comments!