Manic's Abilities:

Double Jump (jump + jump in the air)

Homing Attack (jump + B button)

Lulis' Abilities:

Fly/Swim (Jump + jump in the air of water, can be cancelled by pressing down + jump)

Tail Swipe (left/right + B button)

Mangle's Abilities:

Glide 'n Climb (Note: Mangle can also climb on the ceiling) (Jump + Hold Jump Button, can be cancelled by releasing the Jump Button) (up/down on wall, left/right on ceiling)

RoboBite (new) (B button)

Sonic's Abilities:

Air Cap/Insta-Shield (Note: The Insta-Shield also works with any equipped shield) (Jump + Jump in the air)

Drop Dash (Jump + Hold Jump Button in the air, can be cancelled)

Strength's Abilities:

Hammer Drop (Jump + Jump in the air)

Wall Jump (Jump, then touch a wall, then Jump again)

Emerald's Abilities:

Air Glide (Jump then Hold Jump Button in the air + Left/Right or up/down, can be cancelled by releasing the Jump Button)

FireBall (new) (B button in the ground or air)

Metal Manic's Abilities:

Ring Spark Field (Jump + Hold Jump Button in the air)

Light Speed Dash (Hold B button near a row of rings)

Everyone:

Spin Dash (Down + Jump Button on the ground, keep pressing to charge the Spin Dash, then release the d-pad)

Super Peelout (Up + Jump Button on the ground, then release the D-pad)

Super Transformation (Y button in the air, requires 8 Chaos Emeralds, can be canceled)

Hyper Transformation (see "Advancement") (Y button in the air, Requires 8 Chaos Emeralds and 8 Super Emeralds, can be canceled)

Elemental Shields (Jump then Jump + Up [thunder], Jump then Jump + Left/Right [Flame], Jump then Jump + Down [Bubble])