So my kid started playing games at 3. At 2 he was really interested in watching Luigi's Mansion 3, and then when Animal Crossing came out he started playing it with me. It was really hard for him to control but he steadily improved and he can pretty much play it himself and just needs me to read everything for him ("Talk daddy!") Our island is the virtual representation of a messy play room with toys everywhere, but he loves the landscaping tools so watch out for all the random holes of water.
We're playing through Paper Mario now, I do the battles and read all the dialogue and he navigates around the world. He loves Yoshi's Crafted World (Giant Robot Yoshi is a huge hit), anything Mario (He likes running around the 3d games, and we make relatively easy levels in Maker and play through them), there is a Paw Patrol Mighty Pups game which he can play pretty much independently, a Short Hike is a fun playground for him. Mario Kart has been mentioned which he gets into though I think he is more passive about that due to the auto driving.