There is no restriction on the aircraft that may be used for a PPL(A) but there are 'gotchas' elsewhere in JAR-FCL. If you use a multi, for example, you would still have to achieve 70 hours PIC before the MEP class rating and, therefore, the licence, could be issued.
You could even do a PPL on something like a TBM700 provided that you did it in an FTO approved to conduct the necessary type rating training - now that would be a challenge!!