If you have a wide foot that’s either deep or shallow then Chaco sandals (http://chacousa.com/) may be just right for you. They have a thick sole with a built in arch, which is great for flat or collapsing feet.
My favorite part of the shoe though, is how easily it adjusts by sliding the straps to increase or decrease depth. This makes for a better customized fit, then if you just had width adjustability alone.
Another added bonus is their repair program, which includes all parts of the sandal from strapsto soles. At around $100 for the sandal and $30 for the repairs, Chaco sandals can last years. And don’t your feet deserve that?