Single Ability Pokémon

Levitate Obtainers:

1. Gastly
2. Haunter
3. (Gengar)
4. Misdreavus
5. Mismagius
6. Unown
7. Vibrava
8. Flygon
9. Solrock
10. Lunatone
11. Baltoy
12. Claydol
13. Chingling
14. Chimecho
15. Latias
16. Latios
17. Carnivine
18. Rotom
19. Uxie
20. Mesprit
21. Azelf
22. Tynamo
23. Eelektrik
24. Eelektross
25. Cryogonal
26. (Deino)
27. (Zweilous)
28. Hydreigon
29. (Grubbin)
30. (Charjabug)
31. Vikavolt

Shed Skin Obtainers:

1. Kakuna
2. Metapod
3. Pupitar
4. Silcoon
5. Cascoon

Signature Abilities:

1. Alolan Raichu
2. Shedinja
3. Castform
4. (Cherubi)
5. Cherrim
6. Yamask
7. Cofagrigus
8. Archen
9. Archeops
10. Zorua
11. Zoroark
12. (Honedge)
13. (Doublade)
14. Aegislash
15. Oricorio
16. Wishiwashi
17. Wimpod
18. Golisopod
19. (Type: Null)
20. Silvally
21. Minior
22. Komala
23. Mimikyu
24. Dhelmise
25. Cramorant
26. Galarian Yamask
27. Runerigus
28. Stonjourner
29. Eiscue
30. Morpeko
31. Galarian Stunfisk

Former Signature Abilities:

1. Slakoth
2. (Vigoroth)
3. Slaking
4. Ferroseed
5. Furfrou

Legendaries:

1. Kyogre
2. Groudon
3. Rayquaza
4. Regigigas
5. Cresselia
6. Cobalion
7. Terrakion
8. Virizion
9. Reshiram
10. Zekrom
11. Kyurem
12. Xerneas
13. Yveltal
14. Cosmog
15. Cosmoem
16. Solgaleo
17. Lunala
18. Necrozma
19. Zacian
20. Zamazenta
21. Eternatus

Mythicals:

1. Mew
2. Celebi
3. Jirachi
4. Deoxys
5. Phione
6. Manaphy
7. Darkrai
8. Shaymin
9. Arceus
10. Victini
11. Keldeo
12. Meloetta
13. Genesect
14. Diancie
15. Hoopa
16. Volcanion
17. Magearna
18. Marshadow
19. Meltan
20. Melmetal

N/A:

1. Clauncher
2. Clawitzer
3. Turtonator

Ultra Beasts:

1. Nihilego
2. Buzzwole
3. Pheromosa
4. Xurkitree
5. Celesteela
6. Kartana
7. Guzzlord
8. Poipole
9. Naganadel
10. Stakataka
11. Blacephalon

Edit (30.12.2019): Added Sword and Shield changes.