My favorite twists have to be in Deathtrap, unless we're going to include all movies, where the Sixth Sense contains the twist of all twists. (The ones below are from the Deathtrap movie -- the play, which I read eons ago, doesn't have as many).
1st Spoiler: Cliff isn't dead.
2nd Spoiler: Cliff and Sidney planned the whole thing to kill Myra.
3rd Spoiler: Cliff and Sidney are lovers (quite shocking back then).
4th Spoiler: Cliff is actually writing "Deathtrap."
5th Spoiler: Houdini's cuffs really exist, just as Sidney said, and Cliff accidentally uses them to imprison Sidney at the desk.
6th Spoiler (movie only): Helga TenDorp stumbles on the whole thing and takes the unfinished Deathtrap manuscript after Cliff and Sidney are dead, turning it into a hit.
Audrey, the Phantom Phanatic, who nonetheless would rather be Jean Valjean, who knew how to make lemonade out of lemons.