Miss Marple. Everyone knows Holmes will solve the mystery but no-one ever realises the little old lady has a mind like a steel trap. (Best
Miss Marple ever)
Murder Mysteries (characters used as prime examples rather than only ones of type)
Columbo style (you know who did it and have to work out how Columbo will solve it)
or
Poirot style (you have to try to work out who did it yourself)