My partner and I have just returned from a 7 day stay at the B & B Sydney Harbour which is a great place to stay for it's location close to the ferries/buses/sights, and they do a great breakfast. We went to the information centre at the Rocks Centre (corner of Argyle & Playfair St) for all our free maps/tour info etc, then onto the ferry terminal to purchase an orange travel pass $40 pp for a 7 day unlimited use of all ferries/buses in red and green zones 1 & 2 (except Manly jetcat), this saved us a lot of money.
Recommended:- Darling Harbour, Aquarium, Wildlife Centre, Maritime Museum, Chinese Garden of Friendship,Fish Market.
Rocks market (Sat/Sun)-some original art & craft, but other things are cheaper elsewhere.
Manly by Ferry - a must, better than Bondi, (Sunday has a street market)
Bridge Pylon Lookout & Museum $9.50 - very informative and great views for photos.
Opera House tour - 1 hour - what a fantastic building, the main theatre has a WOW factor.
Botanic Gardens and Mrs McQuarries chair
CBD, Hyde park Barracks - cafe does great food.
QVB - what a fantastic building
Centre Point Tower & Oztrek - views are stunning.
Bondi beach - bus 380 from stand E at Circular Quay, passes through Darlinghurst and Paddington on the way.
Oz Jet Boat - best to do at the end of the day as you get soaked, but what a laugh!
Tours r Us to Blue Mountains (booked at information centre)$93 pp with lunch - my favourite place. Vince the tour guide was very friendly, funny and gave us lots of info along the way. This included Featherdale Wildlife Park, which I loved as you could walk amongst the baby kangaroos/wallabies and emus, and the Olympic Stadium.
Taronga Zoo - get the cable car to the top and make your way back to bottom for ferry - great views from top for photos, and bird show was really good.
Eating:_The Observer Hotel - great cheap food. The Lowenbrau - good food and oompha band,Food courts, Pancakes on the Rocks,Hyde Park Cafe, Golden Century is good but not worth the wait for a table.
Overall we loved Sydney as it so easy to get around and everywhere is well signposted, clean and friendly and the Aussies are so friendly and helpful.
Would we go back? - YES YES YES!