We checked this out last Saturday and really enjoyed the atmosphere with the music and stalls. www.adelaidecentralmarket.com.au
We bought some fruit and veg off the stalls which was good quality and cheaper than the supermarkets. We also liked the stall with wild meats and got some great wild pig ribs, 11 racks for $12, smallish but nice as pork is pricey here (Max wanted croc burgers and Camel...needless to say we didn't purchase). We found it great to see all the breads, pies and cakes on the stalls. There's also a good sweet or candy, stall which the kids liked of course!!! A great place to go if you are a bit of a foody and it's right next to China Town too so of course we had to sample some noodles too.
There is parking there too.