aquinas, my DS (easily) learned to play chess at 3, so...you could at least try! There's that No-Stress Chess variant, too. My DS would not have had the communication abilities at 2, but obviously, YMMV!

(Looking back, I'm now like, wait, he was 3? That's weird. It didn't seem weird at the time. I don't know. We didn't even teach him. DD did.)