You could lose yourself for days in the Deutsches Museum or in any of a number of the other museums and galleries and there are countless beautiful churches and other buildings to explore.
Munich is a very culturally active city too with its orchestras, ensembles, opera houses and theatre. All the major music artists will pass through Munich on their European tours. Flick through any of Munich's events magazines to get a sense of how much is going on and if you're here for a longer stay, there are even two English cinemas as well as a number of English video libraries.
Munich opera house:
Munich also has a lively Theatre scene and, in fact has the largest number of small independent theatre houses in the country. The two biggest companies are the Staatschauspiel and the Kammerspiele.