There are more beaches than you could ever have the time to visit. Not to mention great restaurants and multiple surrounding national parks that all well worth a visit.
Take a ferry to Sydney zoo. See an opera in the world famous opera house. Walk in the park and listen to the bird soundwhuch is so different to the UK. Checkout the harbour and take a boat trip around the bay. Climb the bridge and pay a visit to the other side of the bridge where you'll find cafes and bars.
Just another visit to city. Very vibrant, very energetic but lack of positive emotions - which only found at tourist attractions
Definitely something I fell in love with although I do recommend going with or meeting up with friends.