http://www.deutsche-kinemathek.de/ (the website is also in english)
Also other exhibitions could be interesting at the Martin-Gropius-Bau. W. Eugene Smith and Ai Weiwei in New York are on in November. http://www.berlinerfestspiele.de/de/aktuell/festivals/11_gropiusbau/mgb_start.php
I'm interested in the Wall museum. http://www.mauermuseum.de/
Germany has a great café and bar scene. Many cafés and bars in the district Prenzlauer Berg like Gorki Park (one of the oldest cafés in Berlin) are always a good address to go for a break. The special thing about Gorki Park is that it offers russian brunch and dishes. http://gorki-park.de/bilder.html
A good bar is the 8mm bar http://www.8mmbar.com/.
Great concert and party venues are White Trash and Magnet Club. http://www.whitetrashfastfood.com/
For shopping I might go to the shirt shop Who Killed Bambi Eberswalder Straße 26. And a good Vintage shop just opposite - Stiefkombinat, Eberswalder Str. 21.
I will research more about Art exhibitions and what else is on in November.