I've had this problem continuously. So much so that I'm starting to hate this phone! The only thing that I have found to resolve it is to reboot. But that is not an acceptable solution, since I can't be having to continuously rooting the freakin' thing all day every day.
So if anyone has a REAL solution, please share. A new browser suggestion would be great!
Try Dolphin HD browser. Lots of people love it.
I would unclick allowing flash in the browser settings and give that a try. My experience has been that flash lite with Sense doesn't always work as smoothly as you'd expect. Disabling flash in the browser seemed to fix all of my hiccups and made pages load a bit faster too.
And if there's some flash content that you desperately need to see, just go back to settings and enable, refresh.
Try Dolphin HD browser. Lots of people love it.
+1 for Dolphin. Give it a try.
FWIW, I just touched the address bar and was able to type. Bookmarks: simply touch menu and it gives you the option.