7 Lightweight Linux Browsers You may want to Consider for Fast Browsing Experience

4. Dillo.
Dillo is a lightweight browser that loads web pages fast enough and support HTML, CGI forms, SSL, and cookies. Dillo missing support for Javascript, frames, and HTTPS, among other things, CMIIW. Dillo has been bundled on some lite Linux distributions by default.
Dillo also available on openSUSE Build Service.
5. Links
Wikipedia : Links is an open source text and graphic web browser with a pull-down menu system. It renders complex pages, has partial HTML 4.0 support (including tables and frames and support for multiple character sets such as UTF-8), supports color and monochrome terminals and allows horizontal scrolling.
It is oriented toward visual users who want to retain many typical elements of graphical user interfaces (pop up windows, menus etc.) in a text-only environment. The focus on intuitive usability makes it suitable as a web browser for low-end terminals in libraries, Internet cafes etc.
Features :
* a light and stable alternative to the big GUI browsers;
* a colour terminal (X11/GUI or console);
* lightning-fast loading and rendering of pages;
* bookmarks, rebindable keys, multi-language support, multiple character sets;
* background downloads (with multiple simultaneous connections);
* support for FTP (not passive FTP) and LOCALFILE protocols, HTTP and FTP proxies;
* SSL support since version 0.94.
6. Kylie
Kylie is a web browser supporting text, images, tables and (soon) forms. It doesn’t do css, frames or scripting. And it’s neither fast nor cute. That’s why it is version 0.0.x.
7. Hv3.
Html Viewer 3 (hv3) is a powerful yet minimalist web browser that uses Tkhtml3 as a rendering engine and  SEE (Simple ECMAScript Engine) to interpret scripts. The application itself is written in Tcl. Currently it is at alpha stage.
Beside the above GUI browser, an alternative are text browser that running within text mode environment, such as W3m & w3m-img, Lynx, Elinks and much more.
Anyway, choosing best lightweight browser is not a general answer. It depends on user requirement, preferences and  web page to be display.