Chromium if you want the basics, Vivaldi (based on Chromium) if you want the rich.
Midori >however uninstall all the other browsers (save the bookmark file) before you try. >I didn't say this, ok.
Avoid Gnome (Epiphany), it's a pain.
Everything else is too immature.
There are browsers which won't store anything, therefore there's no access with these browsers to a number of major sites.