D&D games are either a puzzle game or story game. Both count in my estimation.
The first is an alternate reality designed as a cooperative puzzle game, but without being a finite system. It accepts outside of game scope attempts by players, which then define for future play more code for the puzzle. Players perform characters within chosen social roles defining the scope of play.
There is success and failure, turns, and strategizing. When there is a gameboard or battlemat players take moves. The primary challenge is remembering and deciphering the code being repeated behind a screen.
The second game is more about expressing oneself, but it need not include characters or an alternate reality. Under the rubric of pragmatism some include decision mechanisms to determine who gets to tell a story next. Others don't, like when LARPers are expressing themselves simultaneously near each other.
Success and failure occur, typically randomly, as a result of the decision mechanic (which may denote player 1, player 2, etc.) The primary challenge is in each player attempting to express oneself as each wishes by attempting to manifest desires.