Pokémon Dream Radar only has around fifteen ordinary Pokémon, but all of them have their Hidden Ability, except Rotom. The Pokémon you meet depend on your progress, measured by the Forces of Nature you have captured, and on the color of the Dream Orb on the counter. Here is the list, based on Poképédia; we also published a list at launch.

Porygon.

The standard Refiners

For each Pokémon, the counter orb color it can appear with.

Available from the start

PokémonPinkGreenOrangeBlueAbility
Swablu✓✓——Cloud Nine
Drifloon✓✓——Flare Boost
Riolu✓✓——Prankster
Munna✓———Telepathy
Sigilyph✓✓——Tinted Lens

After capturing Tornadus

PokémonPinkGreenOrangeBlueAbility
Igglybuff✓✓——Friend Guard
Shuckle✓✓——Contrary

After capturing Thundurus

PokémonPinkGreenOrangeBlueAbility
Staryu✓—✓—Analytic
Porygon✓—✓—Analytic
Ralts—✓✓—Telepathy
Bronzor✓✓——Heavy Metal

After capturing Landorus

PokémonPinkGreenOrangeBlueAbility
Togepi—✓——Super Luck
Smoochum———✓Hydration
Spiritomb✓——✓Infiltrator
Rotom✓—✓—Levitate

The special Refiners

Three button codes, entered on the lab’s main menu, each unlock a special Refiner. They work on French versions.

RefinerCodePokémonAbility
Special AUp, Right, Down, Left, X, R, LBeldumLight Metal
Special BUp, Down, Right, Left, Y, R, LSlowpokeRegenerator
Special CR, L, Y, X, Left, Right, Y, XHoothootTinted Lens

The Forces of Nature and the legendaries are detailed in the Forces of Nature and legendaries.