You may not have heard of it, but the Mercury web browser for iPhone is a great Safari/Chrome alternative on mobile.
It's excellent where it matters: It's extremely fast, and it has a ton of useful features that you'd normally only find on a desktop computer. It can sync all your Chrome or Firefox bookmarks and reading lists, you can save files from the web and manage them, you can choose a background theme, you can use real tabs (up to 10 can be open at once), you can browse webpages in full-screen mode, screenshot and doodle on any website, browse privately... and there's even more. Perhaps best of all, Mercury supports a variety of plug-ins and extensions like LastPass, Google Translate, and Ad Block.
(Mercury Web Browser, Free)