The ones that work on YOUR feet. What works on one person will not work on another. Depending on the amount of running you wish to do--if it is a lot (like a Disney "thon" is in your future), finding a store that specializes in running shoes that can assess your gait and your feet so that you can be properly fitted is the way to go. I discovered that since childhood--I have been wearing the wrong shoes for years. I'm flat footed and an overpronator. I have to have a particular kind of shoe and Sears, Footlocker and sports authority do not carry it.
There are 3 types of running shoes--neutral, stability, and motion control.
Pre-proper running shoes, all my previous sneakers (keds, nikes, whatever) shared one common characteristic: A collapsed interior wall. With motion control that doesn't happen. Unfortunately b/c of the limited selection, I'm not having luck in finding THE perfect pair. One day it will happen though.