iOS: Alternative browsers for iOS aren't particularly popular, but if you're looking for something outside the world of Safari and Chrome, Browsy is worth a look.
Browsy's main pitch is it's fullscreen, distraction-free view. Basically, load up a web page and you're treated with a great fullscreen view for easy browsing. No URL bar, no buttons, nothing. Beyond that Browsy also has some clever DuckDuckGo integration that adds some Omnibar tricks, and a useful "Keep screen awake" button that comes in handy if you're reading recipes or how-to guides.
It's not going to replace Safari or Chrome by any means, but it does have its uses if you're looking for a simpler browser.
Browsy (Free) [iTunes App Store]