There's usually a spot on the bottom of the website that has an option on mobile or full webpage. In the case of ESPN.com, I went to the site and scrolled to the bottom and there was a link to ESPN.com and I touched it and it went to the full site.
I know on my previous phone (Storm 1) it had in the settings where you could choose if the website sees the phone browser as mobile or not. I could not find any similar settings on the Droid X.
Hope that helps.