If you mean what I think you mean, there are two basic flavours...
(1) Powered parachute (PPC). These are basically self contained, have an undercarriage and one or two seats. Legally they are microlights, you need a licence, registration and permit to fly.
(2) Powered paraglider (PPG). These you wear, have a much lower maximum weight and no undercarriage - although they can come in single and two place (harness really, certainly not seats) versions. These require no licence, no airworthiness approval, and no registration.
The well known batty vicar (actually I think he was some kind of lay preacher) was in a powered paraglider preaching over a housing estate with a megaphone. I believe he got charged with breaches of rule 5 and also being inside Old Sarum's ATZ without ATC clearance.
After he was convicted, he decided to give up on PPGs and learn to fly conventional aeroplanes so that he could be a flying missionary. I heard that he also wrote to CAA enforcement branch thanking them for prosecuting him since it made them an instrument of God's will in showing him the way he should truly be learning to fly so as to do HIS will. I gather that the enforcers were rather bemused by this, but rather chuffed at what was probably the first and last occasion of somebody thanking them for prosecuting him!
G