For those familiar with the Google Chrome browser, I'm looking for the feature which basically treats the address bar as a search bar when not navigating to a site. I would find this handy since it's annoying to have to navigate to Google.com first (which is the only option on the stock browser) or using the search widget. Is there a browser for that?
Dolphin Browser HD allows you to search google from the address bar, and it shows suggestions as you type. It doesn't explicitly say that it has this feature but I use it all the time. If you type something in the address bar that's not a web address and hit go it will automatically search, just like Chrome does.
What android version are you on? I've got eclair (on a motorola phone) and I can just type in the address bar to search. I thought it might be motoblur, but I tried an eclair emulator image and had the same functionality.
What happens when you hit the search button while the Browser is running?
Opera Mini places a Google search bar near the URL bar. This is not exactly what I was looking for but it's a potential alternative.