Pet in the Home space
Similar to BOGO, I think having a digital pet that you can interact with in the Home menu would fill the Home screen with life and interaction. Players can choose from different pets and there could even be a store front for them that includes outfits, toys etc. My kid loves interacting with BOGO but for only short bursts. This would give him a way to check in on the pet, interact with him between game sessions and then choose a new game. I also think it adds a bit of wow factor for new or guest players. When not interacting with the pet, it could wander around the Home screen and entertain itself.