You can use Brave Browser. It is one of the newer Android browsers which came out in 2016 and has a variety of features. There is a built-in ad blocker. It can also block third party cookies, block scripts, and it has HTTPS everywhere. It also boasts optimizations for speed and battery life improvements. It also has most of the basic features like bookmarks, history, and a privacy (incognito) mode.
Opera is good it has a two kinds of Android browsers.
The first is the standard Opera Browser. It features a partial ad block, video compression to save data, and a dashboard where you can have news and favorites stored.
The other one is Opera Mini. It is a smaller, more lightweight option. It comes with a Facebook notification bar, partial ad blocking, and more. Each one has its own beta version as well.