Unlimited bandwidth does not exists, due to technical limitations - it is just a marketing term.
But you may take a look to
these good webhosting offers. They provide almost all a webmaster could need: a lot of space (up to 50 GB), a lot of traffic (up to 999 GB), MySQL, PHP, Perl, and even Windows hosting with MS-SQL and .NET if you use. The prices are fair, even for VPS or dedicated servers.
