Very good question!
One of the major differences is the amount of control and flexability that you have with our servers. I would also say that alot of the features that we include in our packages are often addons with other providers such as Godaddy.
You would have to do a comparison of both companies to determine the exact differences, but I will list some of these below.
Our control panel allows you to setup and change virtually anything related to a web site.
A screenshot of the control panel can be found at http://quality-hosts.com/images/cpanel.gif
With Fantastico Deluxe you can add several different scripts i.e.
pMachine Free (2.3)
Mambo Open Source (4.5.3h)
phpWCMS (1.1-RC4 Rev. A)
Crafty Syntax Live Help (2.12.7)
Help Center Live (2.0.6)
osTicket (1.3.1) (website)
PerlDesk (2.25) (Commercial, needs license)
PHP Support Tickets (1.9)
Support Logic Helpdesk (1.2)
Support Services Manager (1.0b)
SMF (1.0.5 [Patched-1])
OS Commerce (2.2 MS2 (051113))
Zen Cart (1.2.6d)
ViPER Guestbook (1.2 FINAL)
4images Gallery (1.7.1)
Coppermine Photo Gallery (1.4.2)
Polls and Surveys:
Advanced Poll (2.03)
Soholaunch Pro Edition (4.8.5 r8) (Commercial, needs license)
Dew-NewPHPLinks (18.104.22.168b SEF w/Thumbshots)
Moodle (1.5.2 [Patched-1])
Noah’s Classifieds (1.3)
The scripts above can be utilized to make a very professional web site.
I also have to say that our customer support is more than above average, I cannot compare the differences between us and Godaddy as I have never used thier service.
We work very hard to provide our clients with as much help as possible and are very quick in responding to support requests.
We are a smaller company than Godaddy and provide a more one on one approach to support we do not have a room full of "so called" tech support staff who go down a list of canned fixes for your described problem as alot of hosting providers do.
I hope this helps to answer your question, if you still need more detail let me know and I will be happy to provide the best answer I can.