Slicing games are games in which you will slice shapes or objects for a specific purpose. Often, you have to make falling a certain part in the least amount of cuts. This is for example the case in the game 3 Slices, in which you have only 3 cuts to remove more than 80% of the form that is presented to you.
There are also other types of games in which the slice will be used to make someone surviving. For example, you can think of Chu Rescue, a game in which you have to cut blocks of ice so the water rises and an Eskimo can return to the Mainland.
Do not forget the games in which you slice shapes to put them together again.
Slicing games tend to be very addictive and their principle is very easy.