There are heaps of homicidal computers, computers built in pairs with opposing characters, genocidal computers, computers wishing to be human, god computers, guiding or controlling computers, malfunctioning computers and so on. There are also many computers who divide themselves from their first 'bodies' to become 'minds' only, allowing for a look into the mind/body split problem but in this instance computers become programmes rather than people becoming souls or brains in jars. Many are great computers but there are some amongst them that shine for either originality or the love the public has given them.
Colossus from Colossus: The Forbin Project
Takes over the world and micromanages human interactions.