Would "wrap" be a good term to use too for searching. Think I have seen them described as "wrapping around the body" in some sites.
I believe www.OregonPatchWorks.com has what you are looking for. Go into search and type "front and back designs". This should get you started. I have a couple of snowmen that were free on a special.
I know I've seen them somewhere else than Emb Library, but it's been a while. I've searched my designs, but I guess I haven't saved any. Some of them are really quite funny as I remember.
I found some at the link
Using "front and back" or front & back" with an embroidery search might work for you
Planet applique has some but they are only half appliques as there is no second half, for the back. Hope you find what you are looking for, if you can't seem to find what you are wanting and IF the terms and conditions allow it, for the design you would like split, then it may be easy to split one yourself. Or the site you have a design from, may be willing to split the design for you. Just a couple other ways you may be able to get what you are hoping to find. Good Luck! Pam
Yes, I have seem them at Emblibrary. Don't know what to tell you to bring them up in search. good luck! Kay
Snowmen on Designs by sick.