Over the weekend I downloaded all the browsers (both native and Android) that I could lay my hands on and tested them on my most commonly used websites. The results of my trial were conclusive. By far the best browser for my use case has been Opera (Android version). It's got the cleanest, most pleasing UI, it has some nice features (Opera Turbo to reduce mobile data transfer and the ability to switch your user agent between Mobile/Desktop) and in terms of rendering websites, it was able to take everything I could throw at it. I found it much faster than the native Sailfish browser (which is grindingly slow on pages with heavy JS usage) and does a much better job at rendering pages than Firefox.