Of the three main opera houses, the Staatsoper (Unter den Linden) is the poshest. It's very elegant but its bars are a bit cramped and the staff a bit flunkified. Most of the audience are smartly dressed. The Komische always sings in German; if you can cope with that it has interesting productions. The audience there are regular goers rather than people making an occasion of it. Sit high up - if bored you can always admire the unexpected statuary and mirrors decor.
Deutsche Oper is a bit marooned in the old west, but actually has the most comfortable public facilities. Sit in the long rake of the stalls rather than upstairs. They're all reasonably priced by UK standards, and usually have tickets available at short notice/on the day
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