Gives me a chuckle to see "Conway's Game of Life" in the "games available" list. You can certainly call the meta-activities like collecting patterns or building a big thing like a Turing machine in GoL hugely fun and game-like, but the 'simulation' itself really isn't a game under most definitions.
The GoL scene (nor hashlife) didn't exist back in ARPANET days though, so I guess the 'games' bucket would have still seemed most appropriate.<p>There's still no recognised creative genre for this kind of set-it-up-then- let-it-solve type of media afaik! (demoscene is closest) but I think (and hope) it's gradually emerging.