Personally, having a hard time picking again. I really do like Tove Jansson's cover shown here:
If you are not familiar with foreign editions, most Hobbit covers appear at Henk's website http://hobbithunter.nl/ or here in the Guide section. Browse around!
I suppose I could choose any number of copies that just have alternative covers to UK editions e.g. most modern non-UK copies of The Silmarillion have a different Ted Nasmith cover which sometimes works better. But I do like more design orientated covers like the two H's below; one Czech, one Swedish.