The following maneuvers only work after they have been unlocked.

Peel out - Hold X + Square, then release Square.
Rapid stop - Press Left, Right, or Down + Square(2), then hold Square.
P.I.T. maneuver - Ram the rear corner of the car.
Downshift - Press Down + X(2).
90 degree turn - Press Left or Right + X + Circle.
Back switchblade - Press Left or Right + Circle(2).
Forward switchblade - Press Left or Right + Circle(2).
Two wheels - Press Left, Right, Left, X(2).
Nitro boost - Press Up + X(3).