Spatenhaus am Oper is in a really nice setting right across from the Opera downtown. They feature Bavarian specialities on the first floor, and a little more elevated food upstairs. All is good, I’ve never had a bad meal there.
http://www.kuffler.de/de/spatenhaus.php
Alter Hof is also close by in the same block as Dallmayr, it’s in a side street by the former royal residence (or Alter Hof). They have a daily lunch menu, or Tageskarte, at around € 10 which is a great value.
http://mobile.dudasite.com/site/restaurant-alter-hofde
Both places are very convenient to most of the main sights downtown.
You can check out the menus on the websites.