My personal favorite is Mozilla Firefox. Built not by corporations but by people who look out for the little guy. They have a vast range of plugins and for what I’ve seen it’s the most compatible and versatile browser.
There are other players out there too..
icab is one of the most powerful browsers I’ve seen. Both have an Apple App Store version. Unfortunately it’s only available for apple products. $20 for the Apple Desktop version, but it’s worth it!