I LOVE my Asics. I have tried New Balance and they hurt my feet so bad. I asked a friend of mine who coaches college volleyball what shoes are the best. She recommended the Asics. These shoes are so comfy, soft yet firm when I move. I have worn a pair every time we have gone to WDW over the past 6 years...no issues.
I do agree with PP who suggested not wearing a brand new pair of shoes. Make sure whatever you wear something completely broken in. They might not be pretty but I know my feet won't hurt at the end of the day.
Also if you use some peppermint oil or spray at the end of the night it helps too.