This is one of our favorite "off the beaten path" activities. It is in Imst which is about a 30-45 minute drive from Innsbruck. Included in the price of a trip down the rodelbahn/toboggan/alpine coaster is a ride up on the chair lift. The toboggans are on a fixed track and fed by gravity with a single brake. You are able to go as quick or as slow as you want!
Schloss Ambras is one of the oldest museums in the world. It was inhabited by Archduke Ferdinand II and was then made into a Reinassance castle. It holds amazing art and artifacts from the armories of Emperor Maximillian and Leopold. It is located on the outskirts of Innsbruck.
The Bergisel is part of the Innsbruck skyline. The hill itself was the location of the Battles of Bergisel in 1809. A monument was then erected in 1892. There used to be a smaller jump which was then replaced by the current Bergisel which was built for the 1964 Olympics and used again in the 1976 Olympics. There is a cafe on top and a panorama museum exhibit as well.