Abstract Games generally eschew theme and instead focus on pure mechanics. These games tend to have only a few rules, but a lot of tactical and strategic depth.
Roll & Write or Flip & Write Games always have players filling in a sheet of paper or dry-wipe board. The way players do this is typical through rolling dice or flipping cards and using that randomized data to complete their sheet
Social Deduction Games typically have a light rule set and rely instead on social interactions between players to drive the game play. Typically these games involve teams of players with secret allegiances.