Pokemon Sun and Moon?

[Koh]

They should just get rid of the "forget this move" thing... let your Pokemon have access to all the moves it's learned, but assign only four for battles or something.

On top of getting rid of HMs as items altogether, lol.  But I like this idea.  Imagine breeding a new Pokemon, and it has a huge movepool from its parent, but you can only select 4 for use for battle.  I'm totally stealing this idea for a monster raising game we may make down the line.

Breeding could work better anyway, like Dragon Quest Monsters. Rather than input always equals output, you mostly get a new, stronger monster every time (unless it's like, a Slime with a Slime, but even then it's still stronger). This encourages the player to experiment and try out all sorts of combinations, whereas in Pokemon there is no such thing.