Getting Around the Web: Take the Cab
Originally Crystal Atari Browser, this is an oldie to be sure, but hanging tough.
And for the iPad Pro, iCab Mobile wins over Safari (for most sites but not all) and has many well-conceived bells and whistles that are so customizable that this detail might put off casual-sometimes users of the iPad who do not expect to do any serious web work on the smaller device in the first place.
iCab mobile browser (Pro version is two bucks I think) plus Index App are a very useful combo for me (iPad more than iPhone.) Your mileage may vary.
I will leave it to these websites to highlight the pros and cons.