Well, I’ll start with the DLC move tutor moves.
Terrain Pulse- Venusaur, Blastoise, Exeggutor, A-Exeggutor, Lickitung, Kangaskhan, Snorlax, Mew, Dunsparce, Exploud, Lucario, Lickilicky, G-Stunfisk, Clauncher, Clawitzer, Oranguru, Palossand, Type: Null, Silvally, Indeedee (F), and Indeedee (M).
Source
Burning Jealousy- Vulpix, Ninetales, A-Persian, A-Marowak, Magmar, Flareon, Mew, Torkoal, Stuntank, Magmortar, Liepard, Darmanitan, G-Darmanitan, Zorua, Zoroark, Litwick, Lampent, Chandelure, Heatmor, Incineroar, Turtonator, Mimikyu, Thievul, Impidimp, Morgrem, Grimmsnarl, and Cursola.
Source
Flip Turn- Squirtle, Wartortle, Blastoise, Golduck, Horsea, Seadra, Goldeen, Seaking, Staryu, Starmie, Vaporeon, Mew, Kingdra, Carvanha, Sharpedo, Milotic, Basculin, Keldeo, Skrelp, Dragalge, Clauncher, Clawitzer, Popplio, Brionne, Primarina, Wishiwashi, and Barraskewda.
Source
Rising Voltage- Pikachu, Raichu, A-Raichu, Magnemite, Magneton, Jolteon, Mew, Chinchou, Lanturn, Electrike, Manectric, Shinx, Luxio, Luxray, Magnezone, Rotom, Emolga, Joltik, Galvantula, Klink, Klang, Klinklang, Zekrom, Helioptile, Heliolisk, Dedenne, Grubbin, Charjabug, Vikavolt, Togedemaru, Zeraora, Yamper, Bolthund, Toxtricity-A, Toxtricity-LK, Pincurchin, Morpeko, Dracozolt, and Arctozolt.
Source
Grassy Glide (the list is really long)
Triple Axel- A-Sandshrew, A-Sandslash, A-Ninetales, G-Mr. Mime, Mew, Sneasel, Delibird, Hitmontop, Kirlia, Gardevoir, Milotic, Buneary, Lopunny, Weavile, Glaceon, Gallade, Froslass, Minccino, Cinccino, Popplio, Brionne, Primarina, Steenee, Tsareena, Mr. Rime, and Frosmoth.
Source
Coaching- Poliwrath, Machop, Machoke, Machamp, Hitmonlee, Hitmonchan, Mew, Heracross, Hitmontop, Riolu, Lucario, Toxicroak, Croagunk, Gallade, Timburr, Gurdurr, Conkeldurr, Throh, Sawk, Scraggy, Scrafty, Mienfoo, Mienshao, Cobalion, Terrakion, Virizion, Keldeo, Pancham, Pangoro, Hawlucha, Stufful, Bewear, Passiman, Hakamo-o, Kommo-o, Marshadow, Zeraora, Cinderace, Clobbopus, Grapploct, Sirfetch’d, Falinks, Zamazenta, Kubfu, Urshifu Single Strike, and Urshifu Rapid Strike.
Source
Corrosive Gas- Vileplume, Tentacruel, Gastly, Haunter, Gengar, Koffing, Weezing, G-Weezing, Mew, Stunky, Stuntank, Toxicroak, Trubbish, Garbodor, and Salazzle.
Source
Scorching Sands- Charizard, Sandshrew, Sandslash, Ninetales, Diglett, A-Diglett, Dugtrio, A-Dugtrio, Arcanine, Rapidash, Onix, Cubone, Marowak, A-Marowak, Rhyhorn, Rhydon, Flareon, Mew, Steelix, Torkoal, Trapinch, Vibrava, Flygon, Baltoy, Claydol, Hippopotas, Hippowdon, Rhyperior, Drilbur, Excadrill, Sandile, Krokorok, Krookodile, Golett, Golurk, Heatmor, Reshiram, Diggersby, Incineroar, Sandygast, Palossand, Turtonator, Cinderace, Carkoal, Coalossal, Silicobra, Sandaconda, Sizzlipede, and Centiskorch.
Source
Dual Wingbeat- Charizard, Butterfree, Clefairy, Clefable, Farfetch’d, G-Farfetch’d, Scyther, Mew, Hoothoot, Noctowl, Togetic, Natu, Xatu, Dunsparce, Scizor, Delibird, Mantine, Skarmory, Celebi, Wingull, Pelipper, Ninjask, Vibrava, Flygon, Combee, Vespiquen, Togekiss, Pidove, Tranquill, Unfezant, Woobat, Swoobat, Sigilyph, Emolga, Druddigon, Rufflet, Braviary, Vullaby, Mandibuzz,
Hydreigon, Volcarona, Reshiram, Zekrom, Kyurem, B-Kyurem, W-Kyurem, Fletchling, Fletchinder, Talonflame, Hawlucha, Noibat, Noivern, Rowlet, Dartrix, Decidueye, Vikavolt, Cutiefly, Ribombee, Lunala, Rookidee, Corvisquire, Corviknight, Flapple, Cramorant, Sirfetch’d, and Frosmoth.
Source