I would say these games:

Lego Starwars: TCS (Two times)
Lego Batman (Two times)
Lego Indiana Jones (Two times)
Kung Fu Panda (Two times) (3rd is Work In Progress)
Mass effect 1(Three times)
Mass effect 2 (one time) (2nd is Work In Progress)
Puzzle Quest - Challenge of the warlords (Two times)
Shadow Complex (One time) (2nd is Work In Progress)

The reason for the replays is a mixture of good history, captivating gameplay and gamerpoints.