Spotted Wolf
Type 17: Introduced JE 1.20.5
Blitzkrieg
Type 18: Custom submitted—Shayhayhay's cat
White
Type 6: Custom—by AstroTibs
Pale Wolf
Type 0: Available since JE 1.4
Gray Tabby
Type 12: Introduced in BE but unused
Blue-And-Yellow
Type 3: Available since JE 1.12
So Many Cats
There are now multiple possible cat and dog skins. Twelve are backported from 1.14, one is an unused skin from bedrock edition, and the rest are custom skins.
Calico
Type 5: Introduced JE 1.14
Red Tabby
Type 2: Available since JE 1.2.1
New dog breeds
Rejoice! New dog types!
Siberian Husky
Type 12: Custom—by Tild09
Siamese
Type 3: Available since JE 1.2.1
Boo
Type 16: Submitted—Asher Applegate's cat
Rosy-Faced
Type 8: Custom—by AstroTibs
African Grey
Type 10: Custom—by AstroTibs
Black Mountain Feist
Type 13: Custom—by AstroTibs - Based on whrrgarbl's family pet
Red Shiba Inu
Type 5: Custom—by AstroTibs
Village Cats
"Ordinary" cats roam villages
Rusty Wolf
Type 2: Introduced JE 1.20.5
St. Bernard
Type 10: Custom—by AstroTibs
Scarlet
Type 0: Available since JE 1.12
Dusky
Type 9: Custom—by AstroTibs
Great Green
Type 2: Available since JE 1.12
Princess
Type 19: Custom submitted—Chara Violet's cat
Border Collie
Type 8: Based on Angelo from Final Fantasy 8
Hyacinth
Type 1: Available since JE 1.12
Ashen Wolf
Type 14: Introduced JE 1.20.5
Blocco
Type 1: Based on the design from Minecraft: Story Mode Season Two
Galah
Type 11: Custom—by AstroTibs
Snowy Wolf
Type 16: Introduced JE 1.20.5
Pug
Type 7: Custom—by AstroTibs
Woods Wolf
Type 19: Introduced JE 1.20.5
Pet sizes
Cats and dogs in intermediate stages between birth and maturity
Chestnut Wolf
Type 3: Introduced JE 1.20.5
Golden
Type 5: Custom—by AstroTibs
White Terrier
Type 4: Custom—by AstroTibs - Based on whrrgarbl's family pet
Ragdoll
Type 7: Introduced JE 1.14
Dye-able Collars
Tamed cats now have collars that can be dyed, like wolves!
Black
Type 7: Custom—by AstroTibs
Black Wolf
Type 15: Introduced JE 1.20.5
Lily
Type 15: Based on AstroTibs's mother's cat
Winslow
Type 17: Based on the design from Minecraft: Story Mode Season Two
Cockatiel
Type 4: Available since JE 1.12
Golden Retriever
Type 11: Custom—by Tild09
Boston Terrier
Type 9: Custom—by AstroTibs
Brown Tabby
Type 11: Introduced JE 1.14
Juno
Type 13: Based on whrrgarbl's cat
Striped Wolf
Type 18: Introduced JE 1.20.5
Willie
Type 14: Based on AstroTibs's cat
Jellie
Type 9: Introduced JE 1.14—based on GoodTimesWithScar's cat
White Cat
Type 8: Introduced JE 1.14
Rainbow
Type 12: Based on MineKynoMine's lorikeet, Rex
British Shorthair
Type 4: Introduced JE 1.14
Non-random skin
Ocelots and cats keep their skins when tamed!
New parrot breeds
Versions earlier than 1.12 have access to these and the vanilla types!
Persian
Type 6: Introduced JE 1.14
Cocoa
Type 20: Custom submitted—by _MashedTaters_
Black Cat
Type 10: Introduced JE 1.14
Beagle
Type 6: Custom—by AstroTibs
Tuxedo
Type 1: Available since JE 1.2.1—based on Jeb's Newton
Ocelot
Type 0: Available since JE 1.2.1