In reply to Vince McNally:
Probably not the best person to ask since I've only been here since October, and working hard at that. BUT based on my own investigations and chatter from my climbing partners
1. If you're based in Hobart you'll be doing plenty of stuff on the Organ Pipes/Mt Wellington.
2. Coles Bay /Freycinet has some pretty good granite. A lot of the climbing is runout slabby type of stuff, but not all.
3. A day trip or two to Tasman Peninsula, to check out either Mt Brown or the Wedding Cake. If you go to Fortescue Bay there is of course the Totem Pole (!) and the Candlestick, but a friendlier sea stack experience can be had on the Moai on the other side of Fortescue Bay. Although only an hour from Hobart the walk ins are about an hour, so if you also plan to do the tourist Port Arthur thing it might be worth overnighting at the campground in Fortescue Bay. (It is very pretty)
4. If you get decent weather, some crack climbing at Ben Lomond.
OR
4a (again weather dependent) If you wanted a wilderness climbing experience Frenchman's cap or Geryon in the North-West.
Near Launceston Cataract Gorge is supposed to be pretty nice, but my partners don't rave about it in the same way as the other places I've mentioned.
BTW, it's definitely worth bringing double ropes. Most of the rappel anchors here assume that you have doubles....
Will