Temple Run 2, Words with Friends, Cookie Jam (like Candy Crush) needs Facebook to save progress. Game saves and syncing is the only reason I have Facebook.
Finz, Timberman, Diamond Dash - as you may well have noticed I like to tap
Uh and also I play Angry Birds. The original, Seasons and Rio. Angry Birds Star Wars is also installed on my iPhone but somehow I'm not getting used to it.