Appreciate the hushed environment at National Library of Serbia while perusing the books, magazines and periodicals. You may be able to find some board games as well.
This Vracar collection of books is a good spot to kick off your day of sightseeing. There's lots to do and see in the area, such as Saint Sava Cathedral, Republic Square, and Rajko Mitić Stadium. Take your time at National Library of Serbia before making tracks to these other fine attractions.