With 3 UNESCO sites Tasmania sure has it's fare share of walks and lookouts.
Tasmania Parks & Wildlife Service
http://www.parks.tas.gov.au/
...
One of Tasmania’s 60 Great Short Walks, the hike to Meander Falls can be done as a circular walk, taking in a variety of terrain and a number of smaller (but equally impressive) falls by taking the Split Rock Track back.
A short forest loop and trail to the top of Milkshake Hills for views over the surrounding country.
A nice walk to the summit of Mount Direction where there is a historic signal station.