I should have started my answer to you with this, and if you don't mind, I'll edit my post to show that.
LS1 is the old document which used to define of what we now refer to as NTCA.
The only aircraft you may fly on your MPL, are microlights, which only makes up a one part of the aircraft falling under NTCA (used to be LS1). Some LS 1 / NTCA may be able to fit into microlight category, but the owner registers it as experimental, and therefore still needs a PPL to fly it.
For an aircraft to be flown on your MPL, you need it to be a Microlight. For an aircraft to be flown on your Hang glider pilots licence, you need it to be a hang glider. For an aircraft to be flown on your Glider Pilot Licence, it needs to be a glider (there are both certified and non-type certified gliders - most in SA are certified as far as I know)
Most other aircraft, including ex-military, are flown on your PPL.