I like strategy and games with a high degree of story characterization, especially those with queer and psychological themes. I also prefer games that are Free and Open Source Software (FLOSS).
This is likely the greatest game ever made. I credit it with making me the person I am today. If I had to say which was a more valuable part of my education: elementary school or Zoombinis, I would definitely have to say Zoombinis.
This tells the partially-true story of one of my favorite game developers' experience coming out to their parents as bisexual.
Make sure to check out the campaigns by Iris "shikadiqueen" Morelle, starting with Invasion from the Unknown