heya im sittin in Innsbruck now at a friends flat for a week.
Its a small town with not much to see for historical sites but the surrounding area is amazing. Many small towns in Tyrol make great day trips if u use innsbruck as ur base. many hiking trails in the area too. I was in Ratzburg recently and Halle, recommend these for day trips.
lemme know if u require more info, i can ask my friend here what she says.