This is one of those reviews you almost hate to write, because you'd rather not let others know how great of a place this really is. However, the people and the property definitely deserve the praise.
I stayed at the Goldener Greif during Hahnenkamm week and had an excellent stay. I was in a single room on the fourth floor. Some would say small, I think it was cozy and well-designed and well-furnished. It was lacking nothing...even had a balcony looking out to the Kitbuheler Horn.
Given the season, the rates were extremely reasonable for the value received. Not just in my room, but in the rooms (of various configurations) where friends and family stayed. The common areas were geniunely decorated with art of and describing old Kitzbuhel, always appropriate, never cheap or garish.
The people--from the front desk staff and the bartenders up to the owners themselves were always helpful and kind....even to those not staying in the hotel who needed a bit of information. Genuine hospitality. Many of the guests...old AND young...were repeat customers, and spoke highly of the place.
I will definitely go back to Kitbuhel for the Hahnenkamm, and stay at the Goldener Grief, because the Hotel played a large role in making my visit so enjoyable.
Is it cheap? No. Is it a great value? Yes, very much so. If you don't know the difference, then, perhaps it is not your sort of place.