Firefox and Safari are still the best.
Pls forget Internet Explorer.
Chrome is still in beta so i don't recommend using it. Don't follow the hype.
Avant is pretty much the same with IE.
There are still browsers you can try:
Trident rendering engine:
* AOL Explorer
* Avant Browser
* Bento Browser (Built into Winamp)
* Enigma
* Maxthon
* NeoPlanet
* NetCaptor
* Yahoo! Browser (or partnership browsers eg. "AT&T Yahoo! Browser"; "Verizon Yahoo! Browser"; "BT Yahoo! Browser" etc.)
* iRider
* Smart Bro
* UltraBrowser
* Runecats Explorer
Gecko-based browsers
* AT&T Pogo (based on Firefox)
* Beonex Communicator
* Camino for Mac OS X (formerly Chimera)
* CompuServe
* Conkeror
* DocZilla, an SGML browser
* Epiphany, GNOME's current default browser
* Flock (based on Firefox)
* Galeon, GNOME's former default browser
* GNU IceCat, GNU's free fork of Firefox
* K-Meleon for Windows
* K-MeleonCCF for Windows (based on K-Meleon)
* K-Ninja for Windows (based on K-Meleon)
* Kazehakase, a very light GTK2 web browser for GNU/Linux
* Kirix Strata, a web browser designed for data analytics
* Madfox (based on Firefox)
* ManyOne
* Mozilla Application Suite
* Mozilla Firefox (formerly Firebird and Phoenix)
* Netscape (Netscape 6 to Netscape Navigator 9)
* SeaMonkey (successor to Mozilla Application Suite)
* Songbird (based on Firefox)
* Skipstone
* XeroBank Browser (formerly Torpark), portable browser for anonymous browsing
KHTML and WebKit-based browsers
* ABrowse
* Web Browser for Android (mobile device platform)
* Arora
* Epiphany, GNOME's current default browser (2.26+)
* Google Chrome
* iCab (version 4 uses WebKit; earlier versions used its own rendering engine)
* Konqueror
* OmniWeb
* Safari
* Shiira
* Skipstone
* Sputnik for MorphOS (based on S60 WebCore)
* Midori
* Swift
* Web Browser for S60 (for mobile)
Presto-based browsers
* Opera
I recommend the Webkit and Gecko browsers. They are fast and support web standards.