Role-Playing Game Formats
Explanation of the major RPG Formats
Tabletop (TRPG), original and quintessential role-playing game format.
Live-action (LRPG), Larp is a subset under this format.
Electronic (ERPG), includes any RPG that requires electricity to play.
Hybrid (HRPG), catch-all for all the other variations blending the above and other variations.
According to the Hawkes-Robinson RPG Model there are 4 major RPG Formats, with many subformats therein as per this evolving diagram.
Below is a basic version of the RPG formats "amoeba".
You can find a more comprehensive and up to date version of the diagram here.