Removing stock browser on Jelly Bean
This does not really remove the app from your device, but "freezes" it (i.e. makes it "hidden", so it no longer shows up in your App Drawer etc.):

From your Homescreen, open the menu and go to Settings &rarr; Apps &rarr; Browser, and there hit Disable.

If you later decide you want it back: Same path, and Enable it again.