The question you are asking appears not to be business models but types of business you apply to a business model.

I found this great article on Huffington Post which gives a greater understanding of what business models are and why they work.

http://www.huffingtonpost.com/nina-tomaro/9-proven-business-models-_b_7949932.html

The article lists 9 which are commonly used:

* The Middle Man
* Become a Marketplace
* The Subscription Model
* Customize Everything
* On-Demand
* The Modernized Direct Sales Model
* Freemium Model
* Reverse Auction
* Virtual Good Model

I would also Like to add to that list

* Professional Services - Project Management, Software Development, Networking, Systems Administration, Business consulting, Management Consulting and other Consulting work. (Examples Robert Half consulting, TeKSystems, Aerotek ...)
* Value Added Reseller (VAR) - Similar to Customize Everything, except you resell and add cusomizations or provide other services bundled with the items sold.

There are many business models and variation on the above business models. Many businesses have hybrid business models combining aspects from several models. Some of them are well implemented and successful but not all achieve great success.