I've replayed quite a few casual games. I have one match-3 game that I have played all the way through approximately 5 times - Caribbean Hideaway. I've replayed the Delicious: Emily time management game series several times as well.
In terms of HOPAs, though, here are some that I have played through more than once:
Mystery Trackers: Black Isle
Mystery Trackers: Four Aces
Mystery Case Files: Escape from Ravenhearst
Mystery Case Files: The 13th Skull
House of 1000 Doors: Serpent Flame
Death at Fairing Point: A Dana Knightstone Novel
True Fear: Forsaken Souls
Brink of Consciousness: Dorian Gray Syndrome
And there are others. I find that if I like a particular game the first time around, all I have to do is wait about 6 months before playing it again, and then it will seem like a fairly new game to me - maybe that is one of the "privileges" of getting older.