Have a hard-nosed, Old School Revival (OSR) group who enjoys hack and slash dungeon crawls? Great, all you need is an AI who picks hard but fair challenges, describes dire and interesting settings, and keeps rewarding moments (in this case, hard-fought victories) coming frequently.
Like to tell stories instead? Seed a plot with a laid-back AI who leaves lots of room to breathe, throws lots of skill checks at crafty players, and excels at creating complex personalities and interactions via a cast of interesting NPCs.
Rimworld is an simulation/tactics/base-building game that offers more traditionally game oriented "AI Directors," but the different kinds of directors offer different prioritization over moments of peace, intense challenge, battle, etc., based on just a few settings. Even blowing out that settings list a bit more could create interesting results.
Rimworld is like 2d dwarf fortress, but way more accessible. The controls make sense, and the game teaches you as you play. Also Rimworld has about 3 and a half metric tons of mods.
I first saw RimWorld while chilling in a hotel room watching YouTube a while back, and I bought it back while it was still in early access. Tynan has done a phenomenal job making the game go from good to fantastic.