Punki, during your time in MUC, the Munich Philharmonic (whose home is the above mentioned Gaestig) has a Schumann/Shostakovich program under guest cunductor Paavo Jarvi with Radu Lupu at the piano for the Suchmann (this is James Levine's orchestra).

The Bavarian State Opera is one of Europe's great opera institutions. During your time there, in the Nationaltheater they are performing Lucia di Lammemoor with a good cast with the production by the brilliant Canadian Robert Carsen (they are also performing Mozart's Don Giovani but the cast is IMHO so-so).

In the adjacent Altes Residenztheater (Cuvilliés-Theater - very rococo and intimate, not like the giant barns in the US)is a world-class production of Handel's Rinaldo (featuring American counter-tenor sensation David Daniels) produced by the always-controversial David Alden (four hours but worth it).

Enjoy your time in one of the great cities!