Here are some places where you can watch the champions league live or some other sports:

http://www.schwalbeberlin.de/ (prenzlauerberg)
http://www.golgatha-berlin.de/ (kreuzberg)
http://www.fcmagnetbar.de/ (mitte)
http://www.belushis.com/bars/berlin (mitte)

 
Some places to make standard work like copying files or sending a fax can be found in the following links:

http://www.copyplanet-berlin.de
http://www.centralstation-berlin.de/
http://www.kopierladen-berlin.de/

Here are some recommendations that I found surfing:

http://www.hotspot-locations.de/modules.php?name=HotSpots&op=hotspot_query&hsl_countryhs=DE&hs_state=&hs_city=berlin&hs_operator=&hsl_type=BarCafe&hs_access_box=on&search=Suchen

Individual places:

All Starbucks in Berlin: Hackescher Markt, Alexanderplatz, etc.

St.Oberholz (Rosenthaler Platz)
Aufsturz (Oranienburger Strasse)
Macondo and Szimpla (Boxhagener Platz)
Kaffee und Tee and Sanatorium 23 (Frankfurter Allee)
Manolo (Eberswalder strasse)



 

There is a place where you can drink and eat as much as you want!. and you pay 2€, of course if you really like it you should leave a little more as a tip. It depends on you :-)

http://www.weinerei.com/

I found a wonderful site to go and sky in the night!.. .you can try and do it... yes..skating in the night!!

http://berlin.skatebynight.de/strecken/index.php