are you using firefox or IE?
I don't think you can stop it from showing you all the sites you've visited unless you clear the cache. If you clear cache it'll show you nothing, until you start visiting websites again. So if it bothers you a lot you'll end up clearing your cache quite often I think.
edit: With firefox you can set it to delete your personal information everytime you close firefox. And you can set what you want to be "personal information" so if you want to keep all your saved passwords and saved form info and cookies, just limit personal information to "Cache" and that should take care of your problem.
It's the only solution I can think of, and I'm not sure if it works with IE... cuz really now... who uses IE
