What are some video games with this kind of content?

>Imagine game where you can actually cuddle with your Pokémon.

Mikon~

From a game design perspective, a game like this is far and away beyond the capabilities of game freak or any of the other studios to whom they’d be willing to loan their precious IP. Nothing but mediocre games between the main installments.
X/Y was and will be the last Pokémon game to have a story of any weight or significance.