We are using Discord as a platform for dawah/community. Discord is very customizable. Is the following a good feature to add: An area where they can play halal games, while ensuring people don't play too much. Including games like hangman where people guess Arabic words to help in learning Arabic.

Ustadh AbdulAziz al-Haqqan

I cannot tell you whether it is good or not, but if it is free from anything that is forbidden, then it is allowed. This is because the asl is that lahu (entertainment, let's say, for lack of a better word) is allowed in Islam.