Moon Ball: Ralts, Yanma, Meditite, Cleffa, Koffing, Gastly, Bellsprout, Miltank, Houndour, Venonat, Ponyta, Sneasel, Marill, Misdreavus, Swablu, Murkrow, Shellder, Diglett, Shuckle, Heracross, Ekans, Nidoran female, Minun, Horsea, Wurmple, Lapras
Level Ball: Absol, Makuhita, Elekid, Pineco, Kricketot, Geodude, Poochyena, Magikarp, Marill, Shroomish, Hoothoot, Phanpy, Magby, Spearow, Wurmple, Starly
Repeat Ball: Plusle (Lightning Rod, it's not a BankBall 'mon but it's HA is exclusive to 6th gen hordes on the rare side so I have it here), Cyndaquil
Love Ball: Magby, Mareep, Heracross, Snubbull, Bunneary, Drowzee, Chansey, Cherubi, Koffing, Growlithe, Dunsparce, Swablu, Ralts, Farfetch'd, Mawile, Caterpie, Spinarak, Horsea, Whismur, Plusle, Aipom
Safari Ball: Chansey, Kangaskhan, Larvitar, Scyther, Cubone, Hipoppotas, Bagon, Trapinch, Aron, Rhyhorn, Doduo, Sunkern, Houndour, Snubbull, Pinsir, Machop, Lotad, Paras, Marill, Sentret, Goldeen, Surskit, Mareep, Spearow, Dratini, Riolu, Roselia, Seedot, Diglett, Illumise, Electrike, Grimer, Ekans, Oddish, Duskull, Poliwag, Zubat, Murkrow, Krabby, Hoppip, Shuckle, Koffing, Carnivine, Bellsprout, Slakoth, Pichu, Rattata, Seviper
Nest Ball: Chikorita, Kabuto (Weak Armor)
Dive Ball: Totodile, Chikorita, Tentacool (Rain Dish), Shellos (Blue forme)
Luxury Ball: Starly (Reckless), Anorith (Swift Swim), Totodile, Cyndaquil, Bouffalant (Soundproof)
Friend Ball: Spinda, Pineco, Bellsprout, Roselia, Mankey, Wingull, Machop, Pichu, Hoothoot, Seedot, Ralts, Larvitar, Oddish, Tangela, Whismur, Minun, Teddiursa
Fast Ball: Pineco, Paras, Swablu, Growlithe, Marill, Hoothoot, Slakoth, Ponyta
Heavy Ball: Bellsprout, Gastly, Lapras, Magikarp, Ponyta, Relicanth, Skarmory, Snorlax
Lure Ball: Miltank, Magikarp, Chatot, Shellder, Horsea
Sport Ball: Scyther, Weedle, Nincada, Combee, Pinsir
Timer Ball: Karrablast (No Guard), Starly (Reckless)
Ultra Ball: Shieldon (Soundproof)
Great Ball: Totodile
Premier Ball: Chikorita, Winter Deerling, Absol (Justified), Cyndaquil
Quick Ball: Omanyte (Weak Armor), Minun (Volt Absorb, same story as Repeat Plusle)
Net Ball: Tirtouga (Swift Swim)
Dream Ball: Mawile (Sheer Force), Roselia (Leaf Guard), Vanillite (Weak Armor), Sentret (Frisk), Cherubi (Chlorophyll), Meowth (Unnerve), Corphish (Adaptability), Alomomola (Regenerator), Abra (Magic Guard), Karrablast (No Guard), Venipede (Speed Boost), Munna (Telepathy), Chansey (Healer), Carvanha (Speed Boost), Omanyte (Weak Armor), Kabuto (Weak Armor), Aerodactyl (Unnerve), Lileep (Storm Drain), Mantine (Water Veil), Cranidos (Sheer Force), Heracross (Moxie), Eevee (Anticipation), Slowpoke (Regenerator), Hoothoot (Tinted Lens), Igglybuff (Friend Guard), Drifloon (Flare Boost), Whismur (Rattled), Bidoof (Moody), Pachirisu (Volt Absorb), Shinx (Guts), Gible (Rough Skin), Zangoose (Toxic Boost), Riolu (Prankster), Exeggcute (Harvest), Delibird (Insomnia), Spoink (Gluttony), Swablu (Cloud Nine), Cleffa (Friend Guard), Bellsprout (Gluttony), Pidgey (Big Pecks), Elgyem (Analytic), Magby (Vital Spirit), Barboach (Hydration), Natu (Magic Bounce), Spinarak (Sniper), Zubat (Infiltrator), Snorunt (Moody), Glameow (Keen Eye), Durant (Truant), Lickitung (cloud Nine), Shelmet (Overcoat), Qwilfish (Intimidate), Tangela (Regenerator), Gligar (Immunity), Mareep (Plus), Ralts (Telepathy), Buneary (Limber), Clamperl (Rattled), Smoochum (Hydration), Starly (Reckless), Tirtouga (Swift Swim), Corsola (Regenerator), Seviper (Infiltrator), Cottonee (Chlorophyll), Miltank (Sap Sipper), Skitty (Wonder Skin), Horsea (Damp), Skorupi (Keen Eye), Torkoal (Shell Armor), Anorith (Swift Swim), Poliwag (Swift Swim), Sableye (Prankster), Snorlax (Gluttony), Timburr (Iron Fist), Wailmer (Pressure), Smeargle (Moody), Cacnea (Water Absorb), Caterpie (Run Away), Dratini (Marvel Scale), Rattata (Hustle), Vulpix (Drought), Nidoran female (Hustle), Hoppip (Infiltrator), Oddish (Run Away), Stantler (Sap Sipper), Spinda (Contrary), Drilbur (Mold Breaker), Audino (Klutz), Murkrow (Prankster), Swinub (Thick Fat), Wooper (Unaware), Castform, Feebas