Fake Out is learned by 37 species by level, 1 by tutor and 37 by egg

Effect, in PokéAPI's words

“Can only be used as the first move after the user enters battle. Causes the target to flinch.”

Who learns it

71 species in all, 8 of 18 games shown

Scarlet and Violet: 54 species

Species	Method	Level
Meowth	Level up	1
Persian	Level up	1
Hitmonlee	Level up	1
Hitmonchan	Level up	1
Tyrogue	Level up	1
Hitmontop	Level up	1
Lombre	Level up	1
Ludicolo	Level up	1
Nuzleaf	Level up	1
Mienshao	Level up	1
Meowstic	Level up	1
Impidimp	Level up	1
Morgrem	Level up	1
Grimmsnarl	Level up	1
Perrserker	Level up	1
Munkidori	Level up	1
Espurr	Level up	3
Mienfoo	Level up	5
Iron Hands	Level up	7
Makuhita	Level up	10
Hariyama	Level up	10
Sableye	Level up	12
Tinkatink	Level up	39
Tinkatuff	Level up	39
Tinkaton	Level up	39
Squirtle	Egg
Wartortle	Egg
Blastoise	Egg
Seel	Egg
Dewgong	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Shiftry	Egg
Meditite	Egg
Chimchar	Egg
Monferno	Egg
Infernape	Egg
Ambipom	Egg
Croagunk	Egg
Scraggy	Egg
Scrafty	Egg
Gothita	Egg
Litten	Egg
Torracat	Egg
Incineroar	Egg
Salandit	Egg
Grookey	Egg
Thwackey	Egg
Rillaboom	Egg
Indeedee	Egg
Morpeko	Egg
Pawmi	Egg

Brilliant Diamond and Shining Pearl: 33 species

Species	Method	Level
Meowth	Level up	1
Persian	Level up	1
Hitmonlee	Level up	1
Hitmonchan	Level up	1
Tyrogue	Level up	1
Hitmontop	Level up	1
Lombre	Level up	1
Ludicolo	Level up	1
Nuzleaf	Level up	1
Shiftry	Level up	1
Skitty	Level up, Egg	1
Delcatty	Level up	1
Glameow	Level up	1
Purugly	Level up	1
Kangaskhan	Level up	8
Makuhita	Level up	10
Hariyama	Level up	10
Sableye	Level up	12
Squirtle	Egg
Seel	Egg
Mr. Mime	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Meditite	Egg
Spinda	Egg
Kecleon	Egg
Chimchar	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg

Sword and Shield: 40 species

Species	Method	Level
Meowth	Level up	1
Persian	Level up	1
Hitmonlee	Level up	1
Hitmonchan	Level up	1
Tyrogue	Level up	1
Hitmontop	Level up	1
Lombre	Level up	1
Ludicolo	Level up	1
Nuzleaf	Level up	1
Shiftry	Level up	1
Liepard	Level up	1
Mienshao	Level up	1
Meowstic	Level up	1
Zeraora	Level up	1
Impidimp	Level up	1
Morgrem	Level up	1
Grimmsnarl	Level up	1
Perrserker	Level up	1
Espurr	Level up	3
Purrloin	Level up	5
Mienfoo	Level up	5
Kangaskhan	Level up	8
Sableye	Level up	12
Squirtle	Egg
Mr. Mime	Egg
Pichu	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg
Scraggy	Egg
Gothita	Egg
Litten	Egg
Salandit	Egg
Togedemaru	Egg
Grookey	Egg
Indeedee	Egg
Morpeko	Egg

Let's Go Pikachu and Let's Go Eevee: 6 species

Species	Method	Level
Blastoise	Level up	1
Raichu	Level up	1
Meowth	Level up	1, 6
Persian	Level up	1, 6
Dewgong	Level up	1
Kangaskhan	Level up	6

Ultra Sun and Ultra Moon: 39 species

Species	Method	Level
Persian	Level up	1, 9
Tyrogue	Level up	1
Skitty	Level up, Egg	1
Delcatty	Level up	1
Glameow	Level up	1
Purugly	Level up	1
Mienshao	Level up	1, 13
Kangaskhan	Level up	7
Meowth	Level up	9
Makuhita	Level up	10
Hariyama	Level up	10
Nuzleaf	Level up	12
Mienfoo	Level up	13
Lombre	Level up	16
Espurr	Level up	19
Meowstic	Level up	19
Sableye	Level up	21
Purrloin	Level up	21
Liepard	Level up	22
Zeraora	Level up	22
Squirtle	Egg
Seel	Egg
Mr. Mime	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Meditite	Egg
Spinda	Egg
Kecleon	Egg
Chimchar	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg
Scraggy	Egg
Litten	Egg
Salandit	Egg
Togedemaru	Egg

Sun and Moon: 38 species

Species	Method	Level
Persian	Level up	1, 9
Tyrogue	Level up	1
Skitty	Level up, Egg	1
Delcatty	Level up	1
Glameow	Level up	1
Purugly	Level up	1
Mienshao	Level up	1, 13
Kangaskhan	Level up	7
Meowth	Level up	9
Makuhita	Level up	10
Hariyama	Level up	10
Nuzleaf	Level up	12
Mienfoo	Level up	13
Lombre	Level up	16
Espurr	Level up	19
Meowstic	Level up	19
Sableye	Level up	21
Purrloin	Level up	21
Liepard	Level up	22
Squirtle	Egg
Seel	Egg
Mr. Mime	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Meditite	Egg
Spinda	Egg
Kecleon	Egg
Chimchar	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg
Scraggy	Egg
Litten	Egg
Salandit	Egg
Togedemaru	Egg

Omega Ruby and Alpha Sapphire: 35 species

Species	Method	Level
Persian	Level up	1, 9
Tyrogue	Level up	1
Skitty	Level up, Egg	1
Delcatty	Level up	1
Glameow	Level up	1
Purugly	Level up	1
Mienshao	Level up	1, 13
Kangaskhan	Level up	7
Meowth	Level up	9
Makuhita	Level up	10
Hariyama	Level up	10
Nuzleaf	Level up	12
Mienfoo	Level up	13
Lombre	Level up	16
Espurr	Level up	19
Meowstic	Level up	19
Sableye	Level up	21
Purrloin	Level up	21
Liepard	Level up	22
Squirtle	Egg
Seel	Egg
Mr. Mime	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Meditite	Egg
Spinda	Egg
Kecleon	Egg
Chimchar	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg
Scraggy	Egg

X and Y: 35 species

Species	Method	Level
Persian	Level up	1, 9
Tyrogue	Level up	1
Skitty	Level up, Egg	1
Delcatty	Level up	1
Glameow	Level up	1
Purugly	Level up	1
Mienshao	Level up	1, 13
Kangaskhan	Level up	7
Meowth	Level up	9
Lombre	Level up	11
Makuhita	Level up	13
Hariyama	Level up	13
Mienfoo	Level up	13
Sableye	Level up	18
Nuzleaf	Level up	19
Espurr	Level up	19
Meowstic	Level up	19
Purrloin	Level up	21
Liepard	Level up	22
Squirtle	Egg
Seel	Egg
Mr. Mime	Egg
Pichu	Egg
Aipom	Egg
Sneasel	Egg
Delibird	Egg
Smoochum	Egg
Meditite	Egg
Spinda	Egg
Kecleon	Egg
Chimchar	Egg
Buneary	Egg
Mime Jr.	Egg
Croagunk	Egg
Scraggy	Egg