Been using Chrome for a few years now. I have my complaints with it (like how I can't install unofficial extensions anymore for security reasons, and end up using/writing UserJS-like scripts for Tampermonkey), but overall it does what I want pretty well.
Before that I was an Opera fan for quite a while, especially of UserJS scripts (which I could also use to fix all the pages that didn't render properly). Used Firefox for a little while before that, but was never entirely satisfied with it, especially after seeing one too many security exploits for my taste. And of course IE was before that, which I used for quite a long time too. IE wasn't the safest browser at the time either, but at some point I'd switched to using one of those browser shells around it which I liked pretty well, which could do tabbed browsing and all that and made it a little safer to use by blocking certain things. But when I discovered how easy it was for someone to steal your clipboard contents (which is off by default now btw), that was the last straw for IE and me. IE has certainly come a long way since then though, to where I couldn't fault anyone for using it now.
If you want to go back even further, I remember Netscape and Mozilla, which were pretty bad. Then in DOS I had Arachne, even though I didn't have an actual PPP connection to the internet; I used a free Lynx-based service via a terminal program (Commo!), so I rigged up a system of Commo scripts, batch files, and Turbo Pascal code to bridge requests between the two. It wasn't the quickest way of browsing the web, but it was the only way I could do it graphically.
There may have been other browsers mixed in there as well, but if I can't remember'em then they must have not been of much merit.
