I'm looking for a Premier Ball HA (Unnerve) Meowth, I can offer these:
Moon Ball: Ralts, Yanma, Meditite, Cleffa, Koffing, Gastly, Bellsprout, Miltank, Houndour, Venonat, Ponyta, Sneasel, Marill, Misdreavus, Swablu, Murkrow, Shellder, Diglett, Shuckle, Heracross, Ekans
Level Ball: Absol, Makuhita, Elekid, Pineco, Kricketot, Geodude, Poochyena, Magikarp, Marill, Shroomish, Hoothoot, Phanpy, Magby, Spearow
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
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, Pikachu
Nest Ball: Chikorita, Kabuto (Weak Armor)
Dive Ball: Totodile, Chikorita, Tentacool (Rain Dish)
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
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
Timer Ball: Karrablast (No Guard), Starly (Reckless)
Ultra Ball: Shieldon (Soundproof)
Great Ball: Totodile
Premier Ball: Chikorita, Winter Deerling
Quick Ball: Omanyte (Weak Armor)
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), Magmar (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), Castform, Feebas