The spine corrector is also referred to as the Step Barrel. This is used almost exclusively to enhance spinal strength and flexibility.
The Jumpboard fits onto the reformer at the foot end. Whilst lying on the reformer carriage you perform a variety of 'horizontal' jumps against fully controlled resistance for low impact 'landings'. Landings can be on either or both legs.
There are different types of Wobble Board but all are used to improve joint flexibility in the lower body and balance.
Circles and bands are small pieces of apparatus used to provide safe and controlled resistance and assistance and are often used by beginners.