Shadowcat Browser is one of the newer Android browsers. Features include native ad blocking, a pop-up blocker, a night mode with a 100% contrast mode for AMOLED screens, a PDF save page, and cryptojacking protection. There are some UI tweaks as well, such as the address bar resting on the bottom of the app instead of the top. It also does the usual stuff. It's surprisingly delightful to actually use, although we do miss the desktop syncing available on the big name browsers. If you don't need that, this is definitely one of the best options.

Security/Data:

no trackers
no unnecessary permissions
third party cookies disabled by default
enable/disable cookies, javascript, location access, history
save login data in separate, encrypted database
whitelist for javascript, cookies and AdBlocker
toggle image/third party content loading
do not track me
backup data
AdBlocker
delete data on exit (optional)

UI/Handling:
optimized for one hand handling (toolbar at bottom)
tab control (switch, open, close unlimited tabs)
full material design
fullscreen browsing (optional)
navigation button in fullscreen mode
fast toggle for most important settings
advanced gesture control for toolbar and navigation button

Some nice extra features:
small size
search on site
open links in background
Websearch (from marked text context menu)
screenshots of the whole website
share/save as PDF
open links in other apps (for example YouTube)