A traditional game could work, but they feel better suited to handhelds. The handheld games have evolved very slowly, but they're getting there.
Give me a big persistent world console Pokemon Snap and I'd be happy. Would probably be a great place to hang out after a stressful day. Just imagine chilling for a few hours in that world and observing some Pokemon, spectating AI trainer battles and various people going about their lives... with a sweet gyro camera, Miiverse photo sharing and the chance to catch Oak sneaking in the back door after sending a trainer out on their journey.