Shrek, for one, is an animated movie character from the 2001 Dreamworks film of the same name. He is an OGRE who lives in a swamp and embarks on a quest to save a princess from a dragon. Shrek is often accompanied by his sidekick, an annoying talking donkey. The crossword solution for Shrek, for one is 'OGRE, ' which is a mythical creature that is usually depicted as a large, hideous, and sometimes evil humanoid monster.