Reasonable question, most people usually enjoy the craftsmanship that goes into the mechanical movements of the watch and it's aesthetics. Some people may also like them because they never need to charge or have a battery change as long as you wear it often enough. (Provided you have an automatic). But the "I just find them neat" is a big part of it for a lot of people.

For me it's not about analog vs digital or mechanical vs quartz vs smart. I just like shiny things, and quality products. Might be me being shallow but I like holding or wearing something that you can tell is made well. Watches are one of the last remaining items left that revolve around craftsmanship. The fact that they tell time is kind of secondary to me haha.