I remember Dolphin. People used to use it because it would run Abobe Flash. It still exists I see. Opera browser was once significant; it used to have its own layout engine, but was rewritten to use the same engine as Chrome - like every other browser except Firefox.

I've always used Firefox on Android because it runs adds-ons, but the new version by default only runs 'recommended' ones. I do still run add-ons in Firefox, but it's not simple any more.

Chrome on Android - which is the default browser so most people use it - was never able to run add-ons (the desktop version can) so it's impossible to restyle sites like Mudcat to make them easier to use on a small screen.

There are lots of companies who release their own version of of the Chrome browser engine wrapped in their own services - Duck Duck Go, AdBlock Plus, etc.