I really like Cafe Sydney - just get a good seat at an earlier time, and you can watch the transition over a nice meal and a glass or three of wine.
Botanical Gardens
Taronga Zoo
Ferry to Manley beach for a day out and nice views
Only a couple of hours train to the Blue Mountains.
Bondi to Coogee walk if your up for a trek - 6k ish with great views.
There are loads of independent cafes etc about, some better than others.
Im still stuck in NSW at the minute, but quite away from Sydney - hopefully I’ll be well enough to travel in the next couple of weeks.