Innsbruck manages to cram in more high culture and alpine magnificence than other capitals thrice its size. Whatever you’re here for, you might as well situate yourself in the center of the action, right on the old town square. Stage 12 Hotel by Penz adds some stylish panache to a historic building, an easy walk from any landmark that comes to mind. Parquet flooring and mid-century design gestures enliven the rooms, which are surprisingly quiet given the centrality of the locale. Spring for a balcony room if you can — the alpine view will make your morning, every morning.