Yes, Talkeetna, Alaska, the town that was the model and lent scenery to the TV series Northern Exposure has a well-tended reputation for quirkiness, and welcomes visitors. Although some may have found the welcome a bit rough: there are rumors that local food is what killed President Harding in 1923.
In any case, the SF Chronicle DETAILS the weirdness of the town whose mayor is a cat and whose annual charity fundraiser involves large quantities of moose droppings.
Photo: Wikimedia / Brian Biggs