If you're in Parramatta during winter, you might be lucky enough to catch the local Rugby League side, the Parranatta Eels. Games are played on either Friday or Saturday night or Sunday afternoon.
Check out the local papers - its a great Aussie experience to spend some time at the footy.
Games are played at Parramatta Stadium, about a ten minute walk from the station. Right next to the stadium is Parramatta Leagues Club where you will be able to ebter as a visitor, and have a relatively cheap meal and some drinks.
The Parramatta Eels are an Australian professional rugby league football club based in the Sydney suburb of Parramatta. The club was formed in 1946.
A day at the races is only ten minutes from the heart of Parramatta. The races are held every second Saturday.
Equipment: Bring your money with you ;):