After the service of my long time host when to the crapper, I moved my sites to TMDhosting.com and the last 8 months have been fine and any issues have been handled quickly.
They haven't had any of the usage limit issues I had with the old host and they say they are experts with phpBB. Plus they are less expensive than my old host.
I have *not* heard good things about GoDaddy. My older brother has had issues with it and the site that he runs on there is a simple WordPress based site for his photography. So take that as you will.