A friend loves to wear what is referred to as a classic bucket hat. See examples on the Village Hat Shop web site
Classic Bucket Hats

Village Hat Shop has not had the hats in stock for some time. Once in a while we find them at at places like Savon but they seem to be sold on a seasonal or "in and out" basis not regularly stocked.

Note that the desired hat has a semi-rigig brim and isn't the floppy droopy type often seen. An Asian company, YoungAN manufactures hats of this sort and they may be seen marketed under the Dorfman Pacific brand.

We're trying to find a source for these hats.