On my computer, I use Chrome explicitly.
On my phone, I use Dolphin Browser. Most of you probably don't know it, but it's really nice. You can draw letters on the touchscreen that take you to specific sites. For example, if I draw "y," it takes me to Yahoo. If I draw "f," it takes me to Facebook. It's super convenient.
Of course, I use my computer much more often, so I voted Chrome. Plus, Dolphin isn't an option.