Actually I had a similar idea about 2 years ago and started implementing these four games (Backgammon, Checkers, Connect 4, Tic-Tac-Toe) on https://games.z-mans.net/.
But there was no real acceptance. Apart from my beloved playmates Botox and Honey 40 people registered - but only 11 played at least 1 game.
There was almost no feedback on the games, instead I received countless questions on how to port the old Facebook theme. That was just annoying, so I stopped the development.
Perhaps these kind of laid-back board games are simply outdated. At least a lot of today's gamers seem to prefer killing instead of thinking.... :)