My son got super wide feet from somewhere, and high arches from me (I can still fit two fingers under my arch, used to be 3-4, before being pregnant. I swear to god I had "Barbie" feet most of my life)...so we had the exact same problem. We could never do the cute little leather soleless ones because they either
a) didn't fit
b) cut off circulation after "appearing" to fit
c) would just fall off
The ONLY toddler shoe that came in extra wide, is fortunately the best on the market for foot development/walking skills/leg bone and joint growth:
StrideRite
The Velcro ones especially have a lot of room in the top, so his tall arches had space, and the cushioning is better then my cross trainers, so within a week or so they had molded to his feet on the inside. The also have what they call "toddler-tech". Essentially, the shoes bend in four directons...allowing young kids to do that sideways stability thing they do without toppling them over or stressing their ankles. Great great great shoes.
Crocs will also fit wide feet: but beware. They create either a flip-swing-hobble-skip-jump kind of stride in kids or the flop-n-stomp. The flippy bouncy stride is cute as all get out, but it's really hard on developing joints and muscles...The flop-n-stomp as far as I can tell is merely annoying.
Teva's are a better bet in warmer weather, since they come in wide and the tops are 100% size to fit.
For any kid's shoe, I'd recommend Nordstroms or the Shoe Zoo, Seattle.
Cheers to Pitter Patter