Also consider

There are actually quite a few web browsers that are better at juggling the available resources than the web browsers that come bundled with your favourite distro. Some browsers, however, have a much smaller development teams, which means they don’t see an update as often as mainstream or popular browsers. But if you want a browser that doesn’t take up too many resources, Midori is a viable option. You’ll find it in the software repositories of most distributions, and the project has undergone some major changes in recent years since it merged with the Astian foundation.

If your sole objective is anonymity as your surf online, the Tor browser might suit your needs. Keep in mind, however, that it’s only intended for browsing, and not to access streaming multimedia content. Should you ever have need for one on the terminal, you can use Links or Lynx to remain connected even in the absence of a graphical environment.