Blaze Kick is learned by 3 species by level, 16 by machine and 2 by egg

Effect, in PokéAPI's words

“Has an increased chance for a critical hit and a chance to burn the target.”

Who learns it

17 species in all, 8 of 17 games shown

Scarlet and Violet: 3 species

Species	Method	Level
Blaziken	Level up	Evolve
Hitmonlee	Level up	24
Combusken	Level up	40

Brilliant Diamond and Shining Pearl: 5 species

Species	Method	Level
Hitmonlee	Level up	24
Combusken	Level up	40
Blaziken	Level up	42
Chimchar	Egg
Riolu	Egg

Sword and Shield: 16 species

Species	Method	Level
Hitmonlee	Level up, Machine	24
Combusken	Level up, Machine	40
Blaziken	Level up, Machine	42
Charizard	Machine
Mew	Machine
Riolu	Machine
Lucario	Machine
Victini	Machine
Mienshao	Machine
Genesect	Machine
Incineroar	Machine
Marshadow	Machine
Zeraora	Machine
Scorbunny	Machine
Raboot	Machine
Cinderace	Machine

Ultra Sun and Ultra Moon: 4 species

Species	Method	Level
Blaziken	Level up	Evolve, 1
Hitmonlee	Level up	45
Chimchar	Egg
Riolu	Egg

Sun and Moon: 4 species

Species	Method	Level
Blaziken	Level up	Evolve, 1
Hitmonlee	Level up	45
Chimchar	Egg
Riolu	Egg

Omega Ruby and Alpha Sapphire: 4 species

Species	Method	Level
Blaziken	Level up	36
Hitmonlee	Level up	45
Chimchar	Egg
Riolu	Egg

X and Y: 4 species

Species	Method	Level
Blaziken	Level up	36
Hitmonlee	Level up	45
Chimchar	Egg
Riolu	Egg

Black 2 and White 2: 4 species

Species	Method	Level
Blaziken	Level up	36
Hitmonlee	Level up	45
Chimchar	Egg
Riolu	Egg