The following will be at least 4-5IV / 4EM, given some time and at the mercy of ratio.


Dream (HA)
Carvanha / Dratini / Ralts / Glameow / Zubat / Snorunt / Hoppip / Whismur / Remoraid / Poliwag / Poochyena / Eevee / Aipom
HA-less
Buneary / Audino / Numel / Mareep

Friend
Larvitar / Roselia / Shroomish

Heavy
Onix / Mawile / Skarmory

Love
Mareep / Snubbull / Mawile / Sentret / Swablu / Heracross / Chansey / Luvdisc / Hoppip

Level
Meditite / Starly / Numel / Pidgey / Growlithe

Lure
Magikarp / Chatot / Lapras

Moon
Houndour / Vulpix / Ponyta / Swablu / Ekans / Misdreavus / Ralts / Shinx / Gastly / Absol

Safari
Electrike / Kangaskhan / Skorupi / Scyther / Venonat

Misc.
Dusk / Net Earth Power Deino



Seeking:
Dream
Slowpoke / Feebas / Aerodactyl / Lileep / Lapras / Abra / Drifloon / Venipede / Gible

Fast
Buizel / Growlithe

Heavy
Machop / Ponyta / Rhyhorn

Love
Aipom / Cleffa

Level
Houndour / Shinx / Kangaskhan / Rattata / Weedle / Girafarig / Buneary

Lure
Marill / Heracross / Horsea

Moon
Nidoran-F / Teddiursa / Heracross / Zubat

Safari
Trapinch / Lotad

Sport
Scyther

Misc.
Luxury / Net HA Gible
Premier / Repeat Darumaka
Anything I lack, really.