I prefer Chromium to Chrome. It works the same and is open sourced. You
could try reKonq which is Konqueror with Webkit and it looks and works a lot
like Chrome. Flock is also available for Linux and it is now based on
Chromium instead of Firefox. It is available from Getdeb. Then there is
Opera which has its fans. I have 10 different web browsers installed and
that is about half of what is available.

Amaya (browser as well as web composer)
Arora
Chrome
Chromium
Conkeror
Dillo
Dooble
Epiphany
Firefox
Flock
Kazehakase
<en.wikipedia.org/wiki/Kazehakase>Konqueror
Midori
Netsurf
Opera
Rekonq
Seamonkey
Swiftfox
plus all of the text based ones.

You can't have too much choice... or fun!