@msolga,
Opera.
But thanks (I think) to Craven, I was able to download, for free, their paid for version, sans ads (they had some sort of birthday special or something).
Mozilla is, I think, more likely than Opera to have trouble-free browsing, as I think more sites are happy with it (I think most sites still optimize for IE).
You can try all of them right now. They are all way faster than IE on dial-up.
Give them a spin!!
Chrome (Google's browser) is different and takes a bit of learning.
All use tabbed browsing, unlike all but the latest versions of IE, so that takes a bit of getting used to.
I WAY prefer it...and Opera lets me come back to the same tabs if I want when I re-open it.