Other than beer, what are hops used for?
For propagating the hop plant species? 
Seriously, though, from Wikipedia alone I can see that they are used to flavor some other drinks, such as julmust, and in herbal medicine. But outside of that, they seem to be little used.
Hops were also stuffed in pillows as they were supposed to have a mild soporific effect. I have no idea how true that might be.
That’s pretty much what Wikipedia gives for their medicinal use. In more detail:
ETA: The source number 21 is not what I’d consider terribly reliable, so I’m not prepared to vouch for the efficacy of hops as an effective remedy of any kind.
The ‘herbal medicine’ use is usually as tea[sup]*[/sup]. You can buy hops tea from some places.
*‘herbal tea’ or ‘tisane’ if you want to quibble over the word.
I have read that the very young shoots can be eaten, like asparagus.
I have not put it to the test.