A study of leisure activities among INTPs found that their favorite activity was "Appreciating art." Following that was "Writing," then "Taking classes, going to school," and "Playing with computers or video games." (Writing and taking class were liked just about the same.) INTPs were in the midhigh range for total number of leisure activities enjoyed (Myers et al., 1998).
Game designers are also interested in the question of what personalities are most attracted to what sorts of games. They have made an effort to catalogue different styles of play and to relate them to Keirsey’s four temperaments. Bateman (2007) has suggested that INTPs seem to be attracted to the following types of games more than other types (I have added to his list):
- Wordgames like Scrabble
- Boardgames involving strategy such as chess, Risk, Monopoly, Life
- Tabletop roleplaying games such as Dungeons and Dragons or Warhammer 40k
- Adventure games and RPGs that involve solving puzzles, i.e. Myst, Uru, Monkey Island, Portal
- Minesweeper and other games based on abstract reasoning
- Strategy games such as Ages of Empires, Civilization, Masters of Orion, etc.
- Sandbox games such as Minecraft, Sim City, Zoo Tycoon, Eve Online, etc.
- MMOs that offer lots of complexity, i.e. World of Warcraft, Guild Wars, etc.
- Games that allow you to design your own add-on levels
- Online poker (the mathematically inclined may make a living off of it)
You can read more about Rational gameplay tendencies here.