Budget?
While we wait for your response, here are some suggestions:
Listed in order of best first:
1)
StableHost.com is professionally run, offers true 24/7 support, HTML, FTP, e-mail and includes friendly cPanel control panel. They offer a coupon saving 50% off your first invoice, to save the most choose 1, 2 or 3 year term. Since it offers MySQL and PHP you can install your own forums, pichosting, blog, etc.
2)
NFS offers pay as you go hosting which is amazingly simple, cheap and awesome.
3)
MadGenius.com is run by a fellow AT'er, he offers 30% off with coupon.
4) Free. Several AT'ers have dedicated servers, VPS or resellers account and
might consider offering free hosting. Assuming of course it's 100% legit, HTML static only, etc.
Best of luck!