Opera Mini is my favorite, thanks to its support for Opera Link. All I have to do is to maintain a desktop Opera, Portable Edition updated with bookmarks from my favorite desktop browser. From the portable desktop Opera I can manage a folder named Opera Mini, which automatically syncs Opera Mini's bookmarks - of course, Opera Link has to be already enabled on both portable desktop and Mini.
My favorite right now is Maxthon. For those who use the UC Browser you should be aware that the latest update to version 8 has a security problem. I used that version for a few weeks and it was really fast so I decided to stick with it and use the link in the browser to get to my FaceBook page. I then updated and tried to get to my Fb page but kept getting a message that my password was "a little off" or some statement like that. But I was using my correct sign in info. Finally, about the 3rd or 4th attempt I was able to sign in. But I was signed in to some Facebook account of a guy who is from India. I had full access to everything in his account. I finally signed out and uninstalled the browser. There are other similar reports in the Android Market. If I can randomly sign into someone's account then that probably means someone can also sign into mine. There has been no response from the developer after I sent them an email.
I have an iPhone and my favorite browser for it is Atomic Web, with full screen tabbed browsing extra privacy options and ad block settings it's much better for me than safari.
