>>15910534Well, I can see it going two ways.
The first way would be to make it even easier and quicker to breed the Pokemon you would want. Do you recall the Chocobo breeding from FF7? Perhaps the daycare would have an option to let you leave certain foods or other objects (toys, other stat items, etc) to help influence even further which stats are passed down.
The other way would be to include a mini game of some sorts. Perhaps a mini version of Pokemon-Amie or super training where playing with them in the daycare would increase the chances of eggs/IVs being passed/etc. Obviously the outcome would have to be worth it though, playing the minigames would have to ensure certain IVs are passed down. If you do the 'speed' game for example you would pass down your parent of choice's IV down to the child for sure.
I'm sure there are other methods that would make breeding more fun and engaging as a mechanic, but as it stands it's still just horribly tedious.