File-manager, Browser, and Multimedia player are the things that leave the biggest impression on a new user trying out any linux distribution in live environment. I'm not talking about geeks and experienced users. I'm talking about normal human beings. And if I'm not mistaken VSIDO tag-line used to be "SID for human-beings.".
Honestly there are no real alternatives to Firefox-Derivatives, Chrome-Derivatives on linux. Opera now doesn't ship 32 bit version for linux and they have no plans of releasing a 32 bit version for linux.
Midori is only good for casual browsing and is prone to lock-ups and crashes. Only good alternatives I can think of are, SeaMonkey & QupZilla.
SeaMonkey is built on Mozilla code but believe me it is a different beast from Firefox-Iceweasel. It also includes email & newsgroup client, web feed reader, HTML editor, IRC chat and web development tools.
SeaMonkeyQupZilla is built using Qt but you won't have to worry about Qt dependencies since SMPlayer would have already fetch them. It's a young project but it is quite stable.
QupZillaCheers!!!