I've not seen a factory shotshell without a plastic wad for many years. Their ease of reloading and superior performance have eclipsed the card and fiber wads into virtual obscurity.
There may be some paper wadded shells made for environmental (chewing dog friendly) reasons. I'm not aware of any, but I haven't been looking for them. The last time I loaded with card and fiber wads was in the early 70s.
Ballistic Products, Inc. is the major supplier of extraordinary reloading components (and other items). They may be able to direct you to a supplier of paper wadded shotshells.