Alright I picked through the list, and as it turns out there is a pattern throughout it, with nearly all of the poses grouped together by the Pokémon they belong to (which aren't sorted in any meaningful way).
There are a few poses that are clearly meant for specific Pokémon, but don't seem to actually be possible to obtain. There are also 9 extra "You've thrown a PESTER BALL." that I don't think belong to anyone. The other 8 belong to Electabuzz, Mankey, Sandshrew, Squirtle, Bulbasaur, Charmander, Vulpix and Meowth.
These are the poses that I could not find (every single other is accounted for), along with their nearest neighbors to give anyone that wants to search an idea of who it may belong to.
(please note that "It's very nice!", "Hmm... It's so-so." and "Hmm... It's not very good." are just universal poses that nearly everything in the game can get with a varying pose score, so they're not counted as poses by my standards)
"Oh! It's shining." Above is Growlithe. Could have been meant for Staryu or Starmie as they don't have poses.
"Oh! It's shining." Right below the above one, below is Victreebel. Could have been meant for Staryu or Starmie as they don't have poses.
...
"Oh! It's surprised!" Above is Electabuzz, below is Magnemite.
...
"I can barely see it." Above is Diglett, below is Dugtrio, very likely belongs to one of the two. Can't figure out how to get it, might be unused/scrapped, perhaps at one point taking a picture with them barely visible didn't give a "?" photo.
...
"Oh! It's falling." Above is Dratini, below is Graveler. Most likely meant for Geodude as this pose would be shared with Graveler, and Geodude doesn't actually have any other poses, maybe unused due to a mistake?
...
"You've thrown a PESTER BALL." Above is Mankey (who has this pose already), below is Magikarp. This is the third Pester Ball pose listed.
...
"You've thrown a PESTER BALL." Above is Poliwag. This is the fourth Pester Ball pose listed.
"You've thrown a PESTER BALL." Right below the above one, below is Sandshrew, who has this pose already. This is the fifth Pester Ball pose listed.
...
"It's about to go underground." In the middle of Sandshrew's, who this is definitely meant for as Sandslash has an identical pose, but Sandshrew's seems impossible to get without a cheating device as you can't get close enough for an acceptable picture before they finish burrowing, can't confirm myself.
...
"It stumbled." Above is Sandshrew.
"It stumbled." Right below the above one, below is Sandslash, who has this pose already. One of these two is likely meant for Sandshrew, might be unused, as knocking a Geodude down near it (like with Sandslash's) doesn't trigger it.
...
"You've thrown a PESTER BALL." Above is Goldeen. This is the seventh Pester Ball pose listed.
"You've thrown a PESTER BALL." Right below the above one, below is Squirtle, who has this pose already. This is the eighth Pester Ball pose listed.
...
"Hmm... It looks happy." Above is Squirtle, below is Porygon.
...
"You've thrown a PESTER BALL." Above is Psyduck. This is the tenth Pester Ball pose listed.
"You've thrown a PESTER BALL." Right below the above one, below is Bulbasaur, who has this pose already. This is the eleventh Pester Ball pose listed.
...
"Hmm..." In the middle of Charmander's, I have no idea what this could be.
...
"You've thrown a PESTER BALL." Above is Charmeleon. This is the fourteenth Pester Ball pose listed.
"You've thrown a PESTER BALL." Right below the above one, below is Vulpix, who has this pose already. This is the fifteenth Pester Ball pose listed.
...
"If only it were facing you..." Above is wrong number!/Pikachu.
"If only it were facing you..." Right below the above one, below is Mew.
...
"I can barely see it." Above is Diglett, below is Dugtrio, very likely belongs to one of the two (this is split from their other poses for some reason). Can't figure out how to get it, might be unused/scrapped, perhaps at one point taking a picture with them barely visible didn't give a "?" photo.
Also, it's worth noting that Metapod, Butterfree, Kakuna, Zubat, Weepinbell, Geodude, Magneton, Cloyster, Haunter, Staryu and Starmie all do not have a single pose, so any of the random outliers might have (at one point in time perhaps) belonged to them.
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