If you want to play sport there are, as you would expect, several recreation centres and swimming pools in the city. This site (in Slovak, but with an easy-to-navigate map with symbols) is a good place to find one, and check prices and opening hours.
If you want to watch, football and ice hockey are the main winter sports. Bratislava will co-host the 2011 Men's Ice Hockey World Championships (with Košice, in eastern Slovakia) and the main stadium is currently being rebuilt. Tennis is popular in the summer. There is a horse-racing track in the Petržalka district.
Mode No graphics is currently switched on. Therefore you see the web page with no decorative graphics as well as any advanced formatting. If your browser supports CSS2, you can switch a graphic mode on.