1: https://www.furaffinity.net/view/26871739/

These are played in Japan's Heian period.
Uta-awase(show poems) is basically a 'game,' but in the Heian period, a talent for poetry was an important factor for promotion and it was not just an entertainment as it is today.

Twilight : make poems
Fluttershy: Hanami (cherry blossom viewing) and Tsukimi (Viewing the moon)
Aj and RD: Igo (board game of capturing territory)
Pinkiepie :Heian's Sugoroku that she has.
rarity :Hentsugi (scrabble)