There are many things that can be done with or without children in the city of Melbourne.
Lets start with one of our favourites: Melbourne Museum. It has so many attractions on offer for everyone. Adults can enjoy the main section and the kids' section is great fun for babies, preschoolers and school aged kids. Not many people are aware of this part of the museum indeed but we really like that section as a family. When you enter the museum, just walk toward left and at the end of the corridor, you will find it or alternatively, you can ask the staff members there or check out their website. There are educational activities and resources too. Melbourne Museum's current fees are as follows: Adult $10, Concession* and Child (3–16 years) free entry.
Another activity that is quite fun to do is to hop on the Number 35 City Circle tram which is totally free of charge. No ticket is required. It is really fun especially if you have children. Take the time to take them there. You are all very likely to enjoy it. Visit here for the timetable of the tram.
You can download maps and information on walks through the city here. Whenever I get a chance, which is unfortunately not very often, personally, I especially enjoy the Princes Walk quite a bit.
Have you been to The Royal Botanic Gardens in Melbourne yet? It is definitely another favourite for us. I would highly recommend a picnic there. Picnic is only one of the things that you can do there.
You can go to the State Library of Victoria, which is located at 328 Swanston Street. It often has a good variety of free activities and events for kids. It also has story times and 'baby bounce' sessions. You can visit their website for further details.
If you are after an open-air market, then definitely Queen Victoria market is the one to go to. It has an organics section too where you can also access to some biodynamically grown produces as well as organics. It is also a great place for free fun and affordable shopping in most cases. It is also known for its souvenir selling stalls too.
Above are only a few of the many places and activities that Melbourne city has to offer.
You can visit www.thatsmelbourne.com.au for further information on activities and things to do in Melbourne.
Have an enjoyable Sunday!