Well, obviously so does IE - hence my post above - what, specifically, is the question?
Well, not exactly. No version of IE that runs on XP has been officially supported for years now and many sites are blocking IE8 from even being allowed to browse them because of the security Swiss cheese both it and Windows XP demonstrably are.
I believe the original poster wants someone to recommend a web browser that essentially ignores every modern security protocol in existence, and that websites don't block, so that he or she can continue browsing on XP without being bothered by "these trivialities."
That's right! The OP wants to know if there is any browser (note I did not say secure browsers) that:
1. Work on XP Pro.
2. Either do not check security certificates, or failing that, do not give a rats rump whether or not comodo.com, linux.org, or any other site has a new, valid (and perfectly approved by everyone) security certificate.
In short, I am wanting a browser that does what a browser was originally intended to do...get you to the site you want to go to. Like I already said, but I guess I have to say it again, I already have three browsers that want desperately to be my Nanny, Nursemaid, and Bodyguard. I do not need another one, I need a browser that goes where I tell it to go, instead of telling me where I can go. And might I ask just where your quote "these trivialities." comes from? Don't see it in any posts on this thread.