Use a pokemon with flame body or magma armor to hatch eggs 2x as fast. (fletchling, etc for flying to the pokemon judge in keloude)
Have a parent hold a destiny knot to make the child pokemon inherit 5 IVs total from the parents.
Have a parent hold power items to guarantee that a particular IV is inherited.
Have a parent an everstone to guarantee that its nature is inherited.
Ditto can breed with anything that can breed but itself.
Breeding pokemon from two different languages will increase the egg's chance of being shiny.