I use several browser as a webmaster (to test that all works fine in all browsers). I have tried Internet Explorer, Mozilla Firefox, Opera, Netscape and Konqueror. I haven't really tried Safari (just once), as it runs on Macs.

My favourite is Opera, because the buttons (e.g. "search") are nicer, windows can be open within the browser (I think only IE does not have this function), and it is more user-friendly and more customizable than the others. What's more, Opera keeps the pages you were browsing in memory when you close it, so it opens again at the exact same page (unrefreshed) when you restart it. So if you close you browser by mistake, you can reopen all the pages you were viewing in just one click !