R5
Your aircraft and its equipment all have ADs: Piper, Lycoming, Sensenich plus every other item may have them (radios, electrical switches etc). This is what you should have been charged for on your Annual, no 5 minute job to check through the list and make sure that they have all been done, previously complied with or not applicable.
Not only are EASA (CAA) ones due but also those of the country of origin, mostly in the USA in your case.
Have a trawl through:
http://www.faa.gov/aircraft/
Go to the Airworthiness Directive bit - site is down at the moment as it often is.