Question

What are all of the Pokemon Given by NPCs, Excluding Starters?

Comments

check this link if you want
https://bulbapedia.bulbagarden.net/wiki/Gift_Pok%C3%A9mon

Answer 1

In order of when you can get them :D

Main Game:
G-Max Pikachu/Eevee: If you have a save file in LGP/E then you can get a free G-Max Pokemon! (but you can only have 1)
Toxel: Route 5, Pokemon Nursery
Fossil Pokemon: Route 6, Cara Liss (Fossil restorer)
Type Null: Battle Tower, postgame

DLC: Isle of Armor
Bulbasaur / Squirtle: Master Dojo, your choice!
Kubfu: Master Dojo, 3rd trial reward
Porygon: Master Dojo, gift from Hyde
Mewoth-Alola: Digglet guy, 5 Alolan Diglett found
Slowpoke: Digglet guy, 10 Alolan Diglett found
Vulpix-Alola: Digglet guy, 20 Alolan Diglett found
Sandshrew-Alola: Digglet guy, 30 Alolan Diglett found
Raichu-Alola Digglet guy, 40 Alolan Diglett found
Marowak-Alola: Digglet guy, 50 Alolan Diglett found
Exeggutor-Alola: Digglet guy, 75 Alolan Diglett found
Rowlet/ Litten / Poplio: Digglet guy, 100 Alolan Diglett found (you get the one with the same type as your starter)
Diglett-Alola: Digglet guy, 150 Alolan Diglett found (also this guy is 6IV!)

DLC: Crown Tundra
Cosmog: After saving the village from Glastrier/Spectrier, the lady in one of the houses will give you a stray Cosmog!
Poipole: After catching 5 Ultra Beasts from the Dynamax Adventures, it will appear in the Max Lair as a static encounter

Hope I helped :D

Answer 2

They're :

Toxel
Fossil Pokémon which you receive on giving fossils to revive them
Type: Null
Charmander
Bulbasaur / Squirtle
Kubfu
Porygon
Mewoth-alola
Slowpoke
Vulpix-alola
Sandshrew-alola
Raichu-alola
Marowak-alola
Exeggutor-alola
Rowlet/ litten / poplio: depending on type of starter chosen at start of journey.
Diglett-alola
Cosmog
Poipole
That's all.
Check out source for detailed information to get these Pokémon!
Hope I helped!
Source