We would like to recommend Fatcow unlimited hosting.

Here is the configuration of their unlimited packages:

Disk Space Unlimited
Bandwidth Unlimited
POP Mailboxes Unlimited
Domain Name Free
Website Builder Free
Script Barn Free
Shopping Carts Yes
SSL Secure Server Yes
FTP Users & SubUsers Unlimited
Search Engine Marketing Included
Social Networking Ad Credits $50
24x7 Customer Support Yes
Money-Back Guarantee 30 Days

Fatcow pricing policy corresponds to the variety and quality of services provided. That means, you get what you pay for.

Functional possibilities correspond to modern requirements, most of the functions needed to create and evaluate a website from the start are there.