Chloroblast: A potential alternative to Solar Beam. Pokemon who get it would be Grass-types with strong association with the sun: Bulbasuar family, Bellossom, Sunflora, Cherrim, & Lilligant (not sure about Whimsicott); maybe also Shaymin even though it's not exactly sun related though still is known to release massive amount of energy.
Shadow Bone: I get them not wanting to spread about Bonemerang, but Shadow Bone I could see being given to at least one more family: the Duskull family. It would appreciate it.
Strange Steam: For now would like to stick with STAB with these, which makes this a bit harder as not a lot of "steam" Fairy-types. Alolan Ninetales, Marill family(?), Primarine(?), Morelull (spores is kind of like steam), Magearna, Hatterene (it's a witch so could probably create smoke). May have to extend the definition of steam or just have some Fairy seemingly able to make steam just for this move, like I can also see the Spritzee family, Swirlix family, and Milcery family for some reason. Maybe also Togetic/Togekiss.
Freezing Glare: So it would be a Psychic I can see shooting a laser from their eyes, BUT because its a Signature of a Legendary I don't want to make it that wide of a spread. I'm going to add the additional condition of the Pokemon being considered very smart. So with that I see the Elgyem family, Natu family, Metagross, Malamar, and Orbeetle.
Thunderous Kick: If it's a kick you gotta include Hitmonlee. I'd maybe also consider Blaziken, Urshifu, and Pheromosa. I'd also maybe push for Lopunny but it can no longer become a Fighting-type so...
Fiery Wrath: Houndour family and Incineroar pretty much unless they want to expand on the idea on what Pokemon can make a fire-like aura (like Hydreigon cause dragon).
Infernal Parade: Litwik family, once again that Fire-type aspect is pretty strong.
Eerie Spell: Hm, it feels like its been a while since we got a magic-based Psychic Move, though this one has a tinge of sinister to it. I can see the Gothita family, Hatenna family, Natu family, Hoopa, Tapu Lele, and Delphox.
Take Heart: I get its a move that's supposed to make up for Phione's low stats, but its flavor also makes me think some of the other Mythicals like Victini and Meloetta could get it.
Ceaseless Edge: Now the description specifically mentions it's a shell blade so that kind of really limits it when it comes to Dark-types. Like Crawdaunt and Drapion can probably get it at least.
Victory Dance: So this would be a Fighting-type which would likely dance to bring on a victory. Hitmontop is based on capoeira, Makuhita family are sumo which have a lot of ritual parts and from what I looked up there are some dances to it, Mienfoo family are whip fighters which have choreography, if meditation count that includes Meditite family, Hawlucha is a wrestler so you know it dances to show off, Meloetta, and Hakamo-o/Kommo-o.
Bitter Malice: Hmm, looking for the additional hook as a lot of Ghost-types are "bitter". Maybe ones which were once "alive"? That would be Galarian Corsula family, Yamask family, and Froslass. Sandygast family is made from the grudge of those who died on the sand its made from.
Snap Trap: Such a weird move, or at least decisions made with it. Grass-type bear trap, well Carnivine obviously... and seemingly only. At least for Grass-types (which Galarian Stunfisk isn't).
Esper Wing: Though there's a few Psychic-types with wings, Lugia and Lunala are the only ones I feel comfortable giving Esper Wing.
Shelter: So you'd think its description would be about it retreating into its shell, but instead it says the user makes its skin as hard as an iron shield. So it's just a fancier Iron Defense? Well no shortage of defensive Steel-types. But for the sake of flavor, we'll just assume the user needs to have something which they can take "shelter/barricade" in. Forretress and Stakataka are the only other Steel-types that can retreat into a shell or something similar.
Mountain Gale: Bit of a misnomer being its the user hurling giant boulders of ice. Big strong (Physical) Ice-types so Galarian Darmanitan, Beartic, normal Avalugg, Glastrier, Mamowsine, Abomasnow, and Kyurem.
Sparkling Aria: There's a few singing Water-types that can get it, most notable is Lapras & Politoed.
Ice Hammer: Pretty much take my list for Mountain Gale and apply it here.
Accelrock: Not a lot of fast Rock-types or Rock-types you can see doing a burst of speed, but I think the Cranidos family wouldn't be that much of a stretch.
Floral Healing: Its a Heal Pulse alternative for flowery Pokemon. While normally I try sticking to Type, I don't feel I would be wrong in also giving it to some Grass-types: Flabebe family, Bellossom, Cherrim, Lilligant, & Roselia family.
Instruct: A quirky move, though I could see it being given to other Psychic-types who seem like they would be the ones to give commands: Kadabra/Alakazam, Drowzee family, Mr. Mime, Mewtwo, Xatu, Slowking, Gardevoir/Gallade, Gothitelle, Elgyem family, Malamar, Tapu Lele, Orbeetle, Hatterene, Indeedee, & Calyrex.
Shore Up: Now obviously any bulky Ground-types would enjoy this, but this specifically has to do with sand. So Sandshrew family, Trapinch family, Hippopotus family, Sandile family, & Silicobra family are a definite.
Purify: Another odd move I'm not sure why its the Type that it is (both for what it does and for what Pokemon its the Signature Move for). There's not a lot of Poison-types I would give this to, but there's a few other Pokemon I would so going to break my rule once again. My main two examples are Legendaries: Suicune and Shaymin. I think just in general Water and Grass would probably be the two Types that this would get spread to (possibly some Fairy-types too like Galarian Ponyta family), I mean Pyukumuku is a pure Water-type. I can also see it spread to the "nurse" Pokemon (Chansey family, Audino, Alomomola, Comfey, Indeedee, etc.).
Legendary/Mythical Signature Moves: FYI I'm using
Bulbapedia's list of Signature Moves and at this moment I just skipped essentially all of Gen VII's Legendaries/Mythicals Signature Moves. I'm a bit iffy about spreading those Moves around, even to just one or two com mon Pokemon (heck, even to other Legendaries). Not that I'm exactly opposed to it, but if it were to be done I think it should have some significance, strong reasoning, or even a special method.
Court Change: Such a weird move and weird decision to make it a second Signature Move of Cinderace while the other Starters only get one. I get WHY it gets it and the effect is interesting and have a niche, but its the reference itself which bothers me a bit because it makes it so limiting if they restrict it to Pokemon who are based on sports. Like, what other Pokemon would thematically get it? Passimian, maybe some of the martial arts Pokemon? I think this is a move its definition is gonna need to be expanded to include some other theme as its too restrictive as of now. Maybe Ground-types which have some control of the land? Pokemon with space warping powers? Tricksters, like I could see this being something Dark- and Fairy-types would do?
Stuffed Cheeks: Many rodents have this trait. Rattata family, Patrat family, Dedenne, Morpeko, possibly some of the other Pikaclones like Pachirisu and Emolga. Then we also have the Pokemon which are big eaters like the Snorlax family and Lickitung family. Finally we just have Pokemon who designs have big cheeks like the Snubbull family.
Jaw Lock: Why wasn't this Water or Rock-type, Types that would like to have a biting Move? Dark already have Bite and Crunch, it didn't need another. Anyway this isn't just a bite but a reference to some animals having mechanisms in their jaws which makes them physically unable to open their jaws once they bite down on something until they're ready to let it go. Snubbull family gets another mention here (and possibly some other dog Pokemon, Houndour family notably as it gets STAB), as do Carnivine and any crocodillian Pokemon, at least as immediate examples. Honestly you can probably look through the list of Pokemon who learn Bite and Crunch and from there go "yeah that's a species which jaw bones lock".
Grav Apple & Apple Acid: BAD TRANSLATORS! Grav Apple's Japanese name is simply "G-Force" and Apple Acid is "Malic Acid" (which I guess has better reasoning to be changed to Apple Acid...). Still, while sure it has the apple-basis, I don't think it would be odd if other fruit growing or based Pokemon got these moves. It's just now its more awkward in English (BTW, NO OTHER language did this. They call kept close to the Japanese names. Maybe the English team should consider that there are just some moves which need to be renamed).
Overdrive: So this isn't just a burst of electrictiy, it's a bust of electrified sound (just go with it). Combining the two we limit the list down to Voltorb family, Zapdos, & Thundurus. Also, outside of Electric, I don't see a problem with Exploud getting it.
Octolock: *Looks at Octillery*
Teatime: Like, sure, Polteageist is the tea Pokemon hence the move, but I feel this could also be given out to "cute" Pokemon or maybe even Pokemon with a higher femal-to-male ratio. Heck maybe all Galarian Pokemon should get it as they're British.
Magic Powder: Hey, another magic move. This move feels like something that would be specific to magic practitioners or magical creatures which would shed "powder": Galarian Ponyta family, Slowking, Celebi, Cresselia(?), Woobat family, Delphox, Hoopa(?), Oranguru, & Tapu Lele.
False Surrender: Not only would it have to be a Dark-type that isn't afraid to play a little dirty, but also it must have a way to do a sneak attack while its opponent's guard is down: Sneasel family, Shiftry, Cacturne, Stunky family, Liepard, Scraggy family, Malamar, & Zarude.
Spirit Break: You know what, we have so little Physical Fairy moves just give it to whatever feels right: Snubbull family, Azumarill, Mawile, Xerneas, Mimikyu, Tapu Koko, Tapu Bulu, & Zacian.
Obstruct: Not only should it be a Dark-type that you could see defending itself, but also one which looks intimidating enough that the attacker will then become intimidated from it: Alolan Muk, Tyranitar, Shiftry, Crawduant, Stunky family, Drapion, Sandile family, Bisharp, Hydreigon, Pangoro, Yveltal, Incineroar, Guzzlord, Grimmsnarl, Urshifu-Single Strike, & Zarude. Also, maybe for a laugh, Snorlax, Sudowoodo, Kecleon, Psyduck, Crustle, & Wooloo.
Meteor Assault: Essentially a jousting move which defies Type. Escavalier is a shoe in, but other than that? Rapidash (normal & Alolan)?
Decorate: Considering the context sounds like something the other sweets Pokemon could get like the Swirlix family.
No Retreat: Okay, probably will remain a Signature for Falinks, but would be funny to give it to other multi-member Pokemon like Dugtrio, Magneton, Exeggcute, & Combee; would Barbaracle be going too far?
Stone Axe: Kabutops scythe arms are sorta like axes, right?
Dire Claw: You'd be shocked to learn how many Poison-types actually learns claw/slashing moves, not a lot. Like only the Scorupi family feels like appropriate Poison-types to learn it.