That's tricky to find ones they both can play together. I have a DS6 and a DD3. Honestly, DS6 plays games for older kids/adults and has for the last couple years (like Blokus, Phase 10, mastermind, Carscassone, and other games that are mostly strategy based). So he can't really play those games with DD3 and we play together after she is in bed. He does however really like to play games with her so he tries to play the games she can play. Those include: Cariboo, go fishing, kerplunk, hungry hippos, hi ho cherrio, candy land, chutes and ladders, monopoly jr (not sure if she sat for this one but he tried it). Not board games, but they also build together with block buddies, wedgits, and tinkertoys and things like that. Also DS loves those thinkfun games: hoppers, chocolate fix, serpentiles, cover your tracks. And DD likes to just play around with the pieces and match the patterns. She doesn't qutie get how to play yet, but they can each pick one out and play alongside eachother in their own ways.