Row 1:

Machop-Gideon ("Gide-op")

Psyduck-Jace ("JaceDuck") An expression of general despair when Lavinia hands him the Azorius paperwork.

Misdreavus-Liliana ("MisdreaVess") OK, I'm kinda proud of this name....

Charmander-Chandra ("Chardra") In my head she's yelling this while cheerily setting something on fire.

Bulbasaur-Nissa ("Nissasaur")

Row 2:

Kadabra-Saheeli ("Kadeeli"?) This one was chosen more for the spoon prop than psychic powers.

Growlithe-Arlinn ("Growlinn'") #wouldpet

Snorlax-Garruk ("GarrAx")

Cubone-Domri ("Rib Bone") Connected to the...

Row 3:

Gengar-Ob ("Gob"?) All I can think of is Arrested Development

Geodude-Koth ("KothDude")

Tangela-Vraska (Err...I got nothing?)

Seadra-Kiora ("Seaora")

Gastly-Ashiok ("Astley") Not Rick Astley, but 80's glam-rock.

Row 4:

Clefairy-Tamiyo ("Tefairy") Homonyms! Also reminds me I should do real Teferi.

Dragonite-Bolas ("Nicolite" or "Nicol Dragon") That's Mr. Nicol Dragon, to you.

Meowth-Ajani ("Meowi") No joke, this was my neighbor's cat's name, conferred when he was ~age 5.

Pikachu-Ral Zarek ("Zap-a-chu?")