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/
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From the Cape Bruny Lighthouse Keepers cottages follow a path down past the historic cemetary to the convict gardens on Lighthouse Bay Beach.
A little loop around the base of the Labillardiere Peninsula.
A easy short walk along the nature walk and then the trail becomes a less trodden route following the creek to the falls.
A short walk to the iconic lookout as well as to the beach on the far side of The Neck.
A side trail from the overland track often completed on day 1 or the morning of day 2. Barn Bluff is the 4th highest mountain in Tasmania and makes for a fun scramble with good views.
A hike to the summit of Cradle Mountain. I would recommend staying at the mountain, as most accomodation is quite a distance from the visitors centre. The visitors centre opens at 8am, the first shuttle bus to the starting point leaves at 8:15 and the last return bus leaves at 6pm. No cars can drive to the lake at present inside these hours and if you miss the last bus it is about another 3 hour walk out so keep this in mind. If you do drive down before 8am, you can drive back inside these hours but you need to follow one of the busses as they are in radio contact with each other on the narrow one lane road. Personally I would recommend doing the loop via Hansons Peak and returning via Marrion's Lookout, in my opinion it is much better and less travelled, probably because it is a little longer and also because most walkers doing the Overland Track go via Marrion's. Amazing views the whole way and lots of options if you want to make the walk a little longer. Highly recommended, the best walk I have ever done.
A trail consisting mainly of boardwalk like the name suggests that serves as a link between the ranger station and ronny creek. The trail runs up the Cradle Valley with Dove River to the left and the road to the right.
Commencing from the car park at Dove Lake, follow the boardwalk past fields of button grass, Lake Lilla and Wombat Lake, before heading up the side of the crater wall. The climb is reasonably easy, on a well-graded gravel track, with only a few steep sections.
A short side trail to D’Alton and Fergusson Falls.