How can I share a purchased playlist with someone without an Apple Music subscription?

Timson,

It depends what you are trying to do. Sharing an Apple Music playlist with someone who does not have an AM subscription will do no good since they will not be able to play it.

If you want to give them downloads as gifts (for approximately the $1.29 per track that you mention), you can gift from the iTunes Store. This would have to be one track at a time. (The option to gift a full playlist in one transaction was removed from the Store years ago. The instructions are still floating around online, but they no longer work.)

Finally, if you want to kick it old school, burn the tracks to a CD.