Breeding Thread

Another thing that may not be as obvious.

In the summary of a pokemon, on the bottom screen there's a place under the portrait with a star, square, circle, triangle, etc. These are called marks and when you get your IV checked by the Psychic in Kiloude, you should mark the corresponding best stats he states. There are conveniently 6 different marks that can signify HP, Atk, Def, Spa, Spd, Spe.

If you're diligent enough in marking each pokemon you check, you can sift through dozens of boxes and find the IVs of a pokemon you want without checking back with the psychic.

Edit for more tips:

If you're breeding for abilities, the male's ability has no factor on whether the ability passes down (unless the partner is a ditto). This means any friend safari male or hatched males with the wrong ability will always be useful if they have good IVs. The only time this doesn't apply is if you're breeding with a ditto, then it takes the male ability and even the hidden ability at a low chance. However, unless you have a 4iv ditto, you should always have better partners that the dittos you catch.

For females, one breeded or caught with the ability you don't want shouldn't be considered at all for any of your plans. However, pokemon have a 60% chance to pass their hidden ability, if they don't then you'll be defaulted to any of your normal ability. If you have a female with a hidden ability but you want a normal instead, you can still use that female if you really want and you have to pray down the line that it will eventually default.

Also, passing down a regular ability is an 80% chance, so prepare to rage if you get a girl with flawless IVs and the wrong ability.