I have been running in Asics GTs since high school.  I have tried other brands, but for fit (2E width!), stability, and cushion, these are the best shoes I have ever found.  I have train for and run everything from 5ks to marathons in these shoes.

They are good for pavement and hard packed gravel trails.  They are NOT good for dirt/mud trails and singletrack.  They do not have enough traction.