I got the idea from the recent thread about magical girls of each color.

Feel free to go by past or present generations when it comes to Pokemon like Clefairy, who was a Normal Type before X and Y released, but has now been changed to a Fairy Type.

Normal: Furret
Fighting: Blaziken
Flying: Togetic
Poison: Muk
Ground: Swampert
Rock: None
Bug: Butterfree
Ghost: Misdreavus
Steel: Mawile
Fire: Chimchar
Water: Totodile
Grass: Snivy
Electric: Raichu
Psychic: Jirachi
Ice: None
Dragon: Latias
Dark: Umbreon
Fairy: Sylveon

Normal: Lopunny
Fighting:Riolu
Flying:Altaria 
Poison: Nidoran (both genders)
Ground: Sandshrew
Rock: Amaura
Bug: Butterfree
Ghost: Mismagius or Frillish
Steel: Pawniard
Fire: Ho-oh
Water: Wooper or Milotic
Grass: Chikorita, Vileplume, Hoppip, or Leavanny (Grass is my favorite type yo, I can't pick just one)
Electric: Mareep
Psychic: Mew or Gothorita
Ice: Dewgong
Dragon: Dragonair
Dark: Deino
Fairy: Clefairy

Normal: Skitty
Fighting: Mienshao
Flying: Altaria
Poison: Roselia
Ground: Phanpy
Rock: Amaura
Bug: Illumise
Ghost: Chandelure or Misdreavus
Steel: Mawile
Fire: Ninetales or Flareon or Cyndaquil
Water: Azumarill
Grass: Chikorita or Lilligant or Bellossom
Electric: Mareep
Psychic: Gothitelle or Espurr/Meowstic
Ice: Snorunt
Dragon: Latias
Dark: Absol
Fairy: Sylveon

Normal: Lopunny
Fighting: Blaziken
Flying: Altaria
Poison: Toxicroak
Ground: Swampert
Rock: Diancie
Bug: Scizor
Ghost: Banette
Steel: Lucario
Fire: Charizard
Water: Azumarill
Grass: Meganium
Electric: Pikachu (lol)
Psychic: Gothitelle
Ice: Jynx
Dragon: Dragonite
Dark: Scrafty
Fairy: Gardevoir

Normal: Tauros
Fighting: Blaziken
Flying: Honchkrow
Poison: Nidoking
Ground: Excadrill
Rock: Tyranitar
Bug: Scizor
Ghost: Spiritomb
Steel: Bisharp
Fire: Charizard
Water: Blastoise
Grass: Cacturne
Electric: Zekrom
Psychic: Gallade
Ice: Kyurem
Dragon: Garchomp
Dark: Weavile
Fairy: Togekiss