There are some Pokémon that seem to get passed over again and again, so I compiled a list of them.
Gen I: Raticate, Fearow, Sandslash, Nidoqueen, Parasect, Dugtrio, Golduck, Poliwrath, Victreebel, Tentacruel, Rapidash, Farfetch'd, Dewgong, Cloyster, Hypno, Exeggutor, Marowak, Hitmonlee, Weezing, Seaking (20/68, 29.4%/25.0%)
Gen II: Furret, Ledian, Ariados, Xatu, Bellossom, Azumarill, Sudowoodo, Jumpluff, Sunflora, Qwilfish, Corsola, Delibird, Mantine, Smeargle, Hitmontop, Miltank (16/50, 32.0%)
Gen III: Linoone, Beautifly, Ludicolo, Swellow, Pelipper, Masquerain, Ninjask, Shedinja, Plusle, Minun, Volbeat, Illumise, Swalot, Grumpig, Spinda, Zangoose, Seviper, Lunatone, Solrock, Whiscash, Castform, Kecleon, Tropius, Chimecho, Huntail, Gorebyss, Relicanth, Luvdisc (28/73, 38.4%)
Gen IV: Bibarel, Roserade, Rampardos, Bastiodon, Wormadam, Mothim, Pachirisu, Cherrim, Gastrodon, Ambipom, Drifblim, Purugly, Bronzong, Chatot, Spiritomb, Carnivine, Abomasnow, Lickilicky, Mamoswine, Phione (20/68, 29.4%/27.9%)
Gen V: Samurott, Watchog, Simisage, Simipour, Musharna, Unfezant, Zebstrika, Gigalith, Swoobat, Throh, Sawk, Leavanny, Scolipede, Lilligant, Basculin, Darmanitan, Maractus, Crustle, Scrafty, Archeops, Cinccino, Gothitelle, Reuniclus, Swanna, Vanilluxe, Sawsbuck, Escavalier, Amoongus, Jellicent, Alomomola, Galvantula, Ferrothorn, Klinklang, Eelektross, Beheeyem, Haxorus, Beartic, Cryogonal, Accelgor, Stunfisk, Mienshao, Druddigon, Bouffalant, Braviary, Mandibuzz, Heatmor, Durant (47/81, 58.0%/55.5%)
Gen VI: Diggersby, Vivillion, Pyroar, Gogoat, Pangoro, Furfrou, Aromatisse, Slurpuff, Barbaracle, Dragalge, Clawitzer, Heliolisk, Carbink, Goodra, Klefki, Gourgeist, Avalugg (17/38, 44.7%/36.8%)
Gen VII: Toucannon, Ribombee, Mudsdale, Araquanid, Shiinotic, Comfey, Passimian, Pyukumuku, Minior, Komala, Togedemaru, Bruxish, Alolan Dugtrio (13/66, 19.7%)
Gen VIII: Thievul, Barraskewda, Obstagoon, Runerigus, Frosmoth, Arctozolt, Glastrier, Spectrier, Galarian Weezing, Basculegion, Overqwil, Hisuian Braviary, Hisuian Avalugg (13/79, 16.5%)
Gen IX: Lokix, Dachsbun, Arboliva, Ceruledge, Kilowattrel, Brambleghast, Scovillain, Rabasca, Wugtrio, Palafin, Flamigo, Cetitan, Veluza, Dondozo, Tatsugiri, Farigiraf, Dudunsparce, Kingambit, Scream Tail, Brute Bonnet, Flutter Mane, Slither Wing, Iron Bundle, Iron Jugulis, Iron Moth, Iron Thorns, Baxcalibur, Walking Wake, Iron Leaves, Dipplin, Sinistcha, Okidogi, Munkidori, Fezandipiti, Ogrepon, Paldean Tauros (36/76, 47.4%)
Note: For Ultra-Rares, I am counting Shining Pokémon (from the Neo era), Crystal Pokémon, Pokémon-ex, Pokémon Star, Pokémon Lv. X, Pokémon Prime, Pokémon LEGEND, Pokémon EX, Pokémon GX, and Pokémon V. I wasn't sure whether to count BREAKs, so Pokémon that have received a BREAK but not anything else are in italics. I was also unsure whether to count Prism Stars, Amazing Rares, or Radiant Pokémon, but including them would have no effect on the list.
Gen I: Raticate, Fearow, Sandslash, Nidoqueen, Parasect, Dugtrio, Golduck, Poliwrath, Victreebel, Tentacruel, Rapidash, Farfetch'd, Dewgong, Cloyster, Hypno, Exeggutor, Marowak, Hitmonlee, Weezing, Seaking (20/68, 29.4%/25.0%)
Gen II: Furret, Ledian, Ariados, Xatu, Bellossom, Azumarill, Sudowoodo, Jumpluff, Sunflora, Qwilfish, Corsola, Delibird, Mantine, Smeargle, Hitmontop, Miltank (16/50, 32.0%)
Gen III: Linoone, Beautifly, Ludicolo, Swellow, Pelipper, Masquerain, Ninjask, Shedinja, Plusle, Minun, Volbeat, Illumise, Swalot, Grumpig, Spinda, Zangoose, Seviper, Lunatone, Solrock, Whiscash, Castform, Kecleon, Tropius, Chimecho, Huntail, Gorebyss, Relicanth, Luvdisc (28/73, 38.4%)
Gen IV: Bibarel, Roserade, Rampardos, Bastiodon, Wormadam, Mothim, Pachirisu, Cherrim, Gastrodon, Ambipom, Drifblim, Purugly, Bronzong, Chatot, Spiritomb, Carnivine, Abomasnow, Lickilicky, Mamoswine, Phione (20/68, 29.4%/27.9%)
Gen V: Samurott, Watchog, Simisage, Simipour, Musharna, Unfezant, Zebstrika, Gigalith, Swoobat, Throh, Sawk, Leavanny, Scolipede, Lilligant, Basculin, Darmanitan, Maractus, Crustle, Scrafty, Archeops, Cinccino, Gothitelle, Reuniclus, Swanna, Vanilluxe, Sawsbuck, Escavalier, Amoongus, Jellicent, Alomomola, Galvantula, Ferrothorn, Klinklang, Eelektross, Beheeyem, Haxorus, Beartic, Cryogonal, Accelgor, Stunfisk, Mienshao, Druddigon, Bouffalant, Braviary, Mandibuzz, Heatmor, Durant (47/81, 58.0%/55.5%)
Gen VI: Diggersby, Vivillion, Pyroar, Gogoat, Pangoro, Furfrou, Aromatisse, Slurpuff, Barbaracle, Dragalge, Clawitzer, Heliolisk, Carbink, Goodra, Klefki, Gourgeist, Avalugg (17/38, 44.7%/36.8%)
Gen VII: Toucannon, Ribombee, Mudsdale, Araquanid, Shiinotic, Comfey, Passimian, Pyukumuku, Minior, Komala, Togedemaru, Bruxish, Alolan Dugtrio (13/66, 19.7%)
Gen VIII: Thievul, Barraskewda, Obstagoon, Runerigus, Frosmoth, Arctozolt, Glastrier, Spectrier, Galarian Weezing, Basculegion, Overqwil, Hisuian Braviary, Hisuian Avalugg (13/79, 16.5%)
Gen IX: Lokix, Dachsbun, Arboliva, Ceruledge, Kilowattrel, Brambleghast, Scovillain, Rabasca, Wugtrio, Palafin, Flamigo, Cetitan, Veluza, Dondozo, Tatsugiri, Farigiraf, Dudunsparce, Kingambit, Scream Tail, Brute Bonnet, Flutter Mane, Slither Wing, Iron Bundle, Iron Jugulis, Iron Moth, Iron Thorns, Baxcalibur, Walking Wake, Iron Leaves, Dipplin, Sinistcha, Okidogi, Munkidori, Fezandipiti, Ogrepon, Paldean Tauros (36/76, 47.4%)
Note: For Ultra-Rares, I am counting Shining Pokémon (from the Neo era), Crystal Pokémon, Pokémon-ex, Pokémon Star, Pokémon Lv. X, Pokémon Prime, Pokémon LEGEND, Pokémon EX, Pokémon GX, and Pokémon V. I wasn't sure whether to count BREAKs, so Pokémon that have received a BREAK but not anything else are in italics. I was also unsure whether to count Prism Stars, Amazing Rares, or Radiant Pokémon, but including them would have no effect on the list.
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