Try Opera’s mobile browsers. I believe they do essentially this (and have been for years). You can even install it to your iPhone. (And PPK of Quirksmode.org fame says you definitely should, because we devs tend to pretend the mobile world is mostly Webkit, but the reality is still a bit more diverse than that.)
(I see Chrome/Android gets a mention for doing this. It’s kind of funny: Chrome seems to get the credit for features Opera invented, over and over; on desktop: Tabs-on-top. Speed dial. Keyword search. Etc. Of course, I still really respect the Chrome team for being really smart about what features to steal to make a great UX, but Opera deserves love for being such a pioneer!)