Big old public buildings with comfortable seating

Does anyone know of a good library/museum/public building/ properly old cafe in Munich with comfortable seating and easy access where one could go to do some writing in a nice atmosphere?
Thinking a la British Library or something like that...entrance free!

Thanks
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See Libraries and reading rooms for quiet study for some ideas.

I love the café at Glyptothek (Königsplatz). You have to pay an entry fee for the café if you haven't paid for the museum, but the fee is valid for a whole year (as far as I remember, haven't been there for ages).

How about the cafe in the Staatsbibliothek in Ludwigstrasse?
http://www.bsb-muenchen.de/