I hate to admit it, but my favourite fun sport is crazy golf. To play in Vienna head to the Prater (U1/tram 5/S1/S2/S3 Praterstern). There are two golf courses, my favourite is the one behind the Riesenrad (big wheel).
Another football related tip, but the Ernst Happel stadium resides in Vienna. It usually hosts the Austrian national teams' home games and probably cup finals??? It's not too far from the fair. England will be playing here in September, on the way to the World Cup in Germany.......???
If you're into extreme sports, the Danube Tower's the right place for you. Since 2000 it's been the highest bungy centre of the world!
Miss the mountains? Get some practice in at the Fleckturm in Esterhazy Park, just off Mariahilfersrasse.
Ernst Happel Stadium is the biggest football arena in Austria with a capaciy of 53000 seats. It was build in 1931 and renovated in 1986. The stadium was host to Euro 2008.
A restaurant, night club, sun deck and floating pool... just the thing to relax at the Badeschiff Wien.