What Pokemon can learn Calm Mind or Bulk Up by level?

Question

I know Alakazam can

Answer 1

As of Generation IX:

Calm Mind

Clefairy
Clefable
Kadabra
Alakazam
Chansey
Mr. Mime
Eevee
Vaporeon
Jolteon
Flareon
Mewtwo
Cleffa
Togepi
Togetic
Espeon
Umbreon
Stantler
Blissey
Raikou
Entei
Suicune
Lugia
Ho-Oh
Ralts
Kirlia
Gardevoir
Meditite
Medicham
Kyogre
Infernape
Drifloon
Drifblim
Mime Jr.
Happiny
Lucario
Togekiss
Leafeon
Glaceon
Gallade
Uxie
Mesprit
Azelf
Arceus
Munna
Musharna
Woobat
Swoobat
Elgyem
Beheeyem
Mienfoo
Mienshao
Spritzee
Aromatisse
Sylveon
Oranguru
Blacephalon
Orbeetle
Hatenna
Hattrem
Hatterene
Indeedee
Wyrdeer
Armarouge
Raging Bolt

Bulk Up

Poliwrath
Machop
Machoke
Machamp
Zapdos-Galar
Combusken
Blaziken
Makuhita
Hariyama
Groudon
Riolu
Lucario
Timburr
Gurdurr
Conkeldurr
Throh
Sawk
Landorus
Chespin
Quilladin
Chesnaught
Skiddo
Gogoat
Decidueye-Hisui
Incineroar
Passimian
Buzzwole
Clobbopus
Grapploct
Grimmsnarl
Falinks
Kubfu
Urshifu
Slither Wing
Okidogi

Not all of these Pokemon can learn these moves by level up in every generation. Please reference respective Bulbapedia pages for specifics.

Answer 2

Bulk Up: Combusken and Blaziken. Also Groudon but it can't breed.

Calm Mind: Alakazam, Stantler, the Ralts line (not Gallade though), the Meditite line, Infernape, and legendaries that don't matter in this case. If you do want it for legendaries, there are: Kyogre, Ho-oh, Lugia, Entei, Raikou, and Suicune.

Another is Smeargle with Sketch.