recommendations in Innsbruck...
I have no recent personal experience, but recommend to look at the online edition of Gault Millau Österreich: http://www.gaultmillau.at
In the field "Schnellsuche" (= quick search) enter "Innsbruck", and you will get a list of ten restaurants with at least one toque.
The places you will find include:
None of these are really spectacular, but definitely recommended if you have to eat in Innsbruck.