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


Dream (HA)
Carvanha / Dratini / Ralts / Glameow / Zubat / Snorunt / Hoppip / Whismur / Remoraid / Shuckle / Poliwag / Poochyena / Eevee / Aipom / Feebas / Drifloon / Spiritomb / Aerodactyl / Gible
HA-less
Buneary / Audino / Numel / Mareep / Kangaskhan / Koffing

Fast
Growlithe

Friend
Larvitar / Roselia / Shroomish / Weedle / Seedot / Ralts

Heavy
Onix / Mawile / Skarmory / Rhyhorn / Phanpy / Machop / Absol

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

Level
Meditite / Starly / Numel / Pidgey / Growlithe / Kangaskhan / Shinx / Rhyhorn / Zigzagoon

Lure
Magikarp / Chatot / Lapras / Taillow / Horsea

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

Safari
Electrike / Kangaskhan / Skorupi / Scyther / Venonat / Lotad

Sport
Scyther

Misc.
Dusk / Net Earth Power Deino
Dickton of PP Ups / Maxes
Starf / Enigma / Lansat / Pokerus


Seeking (IVs don't matter):
Dream
Slowpoke / Nidoran / Lapras / Abra / Venipede / Sableye / Lileep / Ducklett / Skitty

Fast
Buizel / Ponyta / Paras / Pichu / Shuckle

Friend
Natu / Tangela / Spinda

Heavy
Ponyta / Vulpix / Mantine / Numel / Snorlax

Love
Aipom / Sneasel / Misdreavus

Level (Best)
Houndour / Rattata / Sandshrew / Weedle / Meowth / Girafarig / Buneary / Slakoth / Mawile / Cubone / Makuhita / Combee / Mankey

Lure
Marill / Heracross / Tangela / Relicanth / Psyduck

Moon
Nidoran-F / Sneasel / Machop / Shellder / Snorlax / Chatot / Teddiursa / Heracross / Zubat / Murkrow / Onix / Mareep

Safari
Misdreavus

Sport
Combee / Kriketot

Misc.
Luxury / Net HA Gible
Premier Togepi
Quick Electrike
Anything I lack, really.