To see masterpieces by e.g. Albrecht Dürer visit the Alte Pinakothek. For more masterpieces of artists you can just cross the street and visit the Neue Pinakothek.
And to see exhibitions on modern art, graphics, design and architecture the Pinakothek der Moderne is also close-by.
A little trip to the palace Nymphenburg can be very nice. Sometimes classical concerts are performed in its halls.
If looking for a luxury retreat the Schloss Elmau is
1.5hrs away from Munich and offers culture and wellness in a nice surrounding.