Conway's game of Life (or as it sometimes called - Life) can be considered as life simulation.
The rules for the game were developed in 1970-s and are very simple:
Game happens on 2D plane consisting of cells (each cells has 8 neighbours)
Cell can be either dead or alive
On each game step (generation) cell can change state:
Dead cell can become a live cell if it has exactly 3 live neighbour cells
Live cell continues to live if it has 2 or 3 live neighbour cells
In all other cases live cells die (either from overpopulation or from loneliness)
In essence - this is a zero-player game which flow is determined only by initial position.
However you never know how the game will evolve after several iterations.