I wear wide men's shoes only. I got tired of my toes folding under each other. Over the years, and after two long hikes, my toes are all spread apart and now I couldn't wear a pair of women's shoes if I tried. Brands that work for me:
New Balance minimus – nice and tight around the middle and wide in the front, but kind of too minimal for some kinds of hiking (had a thorn go right through the bottom.)
Altra Running – I still have to get them a little too long in order to have enough room for my outer toes.
Keen – I like the floppy feel of the slightly too-large men's shoes I got, but it put a seam right over my big toe and I've lost my big toenails because of that. So I have to wear super thin socks if I want to keep my toenails. Otherwise the width is great and my little toes, which are the ones that are usually destroyed, do great.
Chaco sandals. I've backpacked all over the place in Chacos, even part of the JMT and PCT. I wear them with socks. My feet are always very happy. The don't have good traction and it sucks to walk in snow in them.