Name                   Set        Rarity
---------------------------------------------
TRAINER

Bill                   Base       C
(The) Boss's Way       Rocket     U
Challenge!             Rocket     U
Clefairy Doll          Base       R
Computer Error         Promo      P - Pokemon League [#16]
Computer Search        Base       R
Defender               Base       U
Devolution Spray       Base       R
Digger                 Rocket     U
Energy Removal         Base       C
Energy Retrieval       Base       U
Energy Search          Fossil     C
Full Heal              Base       U
Gambler                Fossil     C
Goop Gas Attack        Rocket     C
Gust of Wind           Base       C
Here Comes TR!         Rocket     R
Here Comes TR!         Rocket     H
Imposter Prof. Oak     Base       R
Imposter Oak's Revenge Rocket     U
Item Finder            Base       R
Lass                   Base       R
Maintenance            Base       U
Mr. Fuji               Fossil     U
Mysterious Fossil      Fossil     C
Nightly Garbage Run    Rocket     U
PlusPower              Base       U
Pokeball               Jungle     C
Pokedex                Base       U
Pokemon Breeder        Base       R
Pokemon Center         Base       U
Pokemon Flute          Base       U
Pokemon Trader         Base       R
Potion                 Base       C
Professor Oak          Base       U
Recycle                Fossil     C
Revive                 Base       U
Rocket's Sneak Attack  Rocket     R
Rocket's Sneak Attack  Rocket     H
Scoop Up               Base       R
Sleep!                 Rocket     C
Super Energy Removal   Base       R
Super Potion           Base       U
Switch                 Base       C

ENERGY

Double Colorless       Base       U
Electric               Base       E
Fighting               Base       E
Fire                   Base       E
Full Heal              Rocket     U
Grass                  Base       E
Potion                 Rocket     U
Psychic                Base       E
Rainbow                Rocket     R
Rainbow                Rocket     H
Water                  Base       E

(All Energy cards' official names have "Energy" after what I placed, for example, "Water" is "Water Energy".  Don't confuse cards like Full Heal Energy and Full Heal.  You may have 4 of each per deck.)

Rarity:

H - Rare-Holo
R - Rare
U - Uncommon
C - Common
E - Basic Energy

TR stands for Team Rocket.