here's an UNTESTED, non-comprehensive list of webmail services that offer (among other offers) free webMail accounts not confined to being accessed from the "major" browsers only. Included are some browsers that are not explicitly stated as being "confined" in my source:
wikipedia - Comparison_of_webmail_providers
Some of these do not have an English interface.
If you know of any other, please put it in this thread.
If you use one of these successfully, please let us know.
If you tried one and were not happy with it, too ...
Now, the reason why I put this in the "Extensions" forum: Maybe someone wants to write a macro that helps "auto"-migrating?
I'm thinking of a thing that is able to use the hotmail page to forward selected mails from hotmail to other accounts.
Minimum requirement: It should be able to paste my new mail address to the address box, plus extract a mail's original sending date and PREpend it to a mails subject heading INSTEAD of "Fw".
Date should appear in a year-month-day format to get them sorted easily in the new account.
I'd volunteer to write the HowTo.
Back again ...