Salamanca markets has some rubbish but you never know what's in among the pile.
Dinner at the Drunken Admiral was excellent, especially if you're staying at the Henry Jones IXL place on the waterfront.
A trip to MONA is a must, only if to say "I've been there".
Forget Wrest Point Casino, it's like a seedy museum from the 1980s. (unless it's been done up).
Another good place for seafood is also Mures, also on the waterfront, top floor with great views and top food.
And if you like whiskey, then try some of the stops in Hobart, or even
venture out to the distilleries.
Nant is nice but exy, Sullivan's Cove is my favorite Tassy drop and I still have to try Lark and many others.
If you get thirsty after Salamanca markets drop into one the many bars close to the area with good Tassie beer and if you need fresh veg and fruit etc there's a great little market Called Salamanca Fresh right on Salamanca Place.
Anything else let me know.