When to Go - March. This is the start of Tasmania's mellow autumn. Beautifully calm, sunny days illuminate 200-year- old oaks, birches and native beech trees changing colors for the winter. Festivals like A Taste of the Huon (March 8-9) take advantage of the season by showcasing the "Apple Isle" and its fresh produce, including cherries, berries and, appropriately, apples. March is also nearing the end of high season, which runs October to April.