Štáb is the only time-café in Brno. It is unique in that you don't pay for your consumption but for the time you spend there. It is located in the city centre and offers you different kinds of coffee and tea. They usually have also some biscuits and sometimes even a little bit of wine. You can get unlimited number of shishas (water pipes), play board games or musical instruments, connect to wi-fi, use a scanner or a projector, read some books from their library or even do your laundry and have a shower. You still pay only for the time.
See also their facebook page: https://www.facebook.com/vshtabe