Correct me if I'm wrong.
Abandonware is an illegal definition of old games no longer being sold in shops can be downloaded for free on the Internet.
Demo is the same as shareware and can be downloaded on the game site. I don't think these can be sold.
Freeware is free stuff the author(s) have confirmed free to distribute and not to sell.
Full version is a complete version of a game. When you buy a game-cd.
Shareware is a shortened version of a game that the developer wants people to share with others so they will go buy the game and they can earn money. I also think that these can be sold for a cheap price. (I bought a shareware of Jazz Jackrabbit on a floppy (Jazz logo on the metal-*thing*) in a shop 8 years ago for a nickel.) Shareware is mostly replaced by demos today.
Trial versions of programs are often with a time limit (for example 30 days) or a max. use limit (for example 10 times open program). Some programs also have in example 1 hour use and when the 60 minutes have passed by the program will be shut down. They are also often with limitations as demo and shareware.
Warez is illegal distribution of full versions of games for free. For example through IRC, P2P, FTP or HTTP.
These were all different types I could come in thought of.