This is a list of quests that can be found in Bioshock: Rapture and Columbia.
Gomorrah's Childen: Columbia has taken interest in the little sister project. Kill a Big Daddy and send the little sister to Columbia.
A motorized patriot has been found in Rapture. It has already destroyed one Rosie and likely several splicers, as well. The Rapture Family will reward whoever destroys it.