I don't know if this counts as the oldest but--I have an applique kit my mother purchased many years ago, from LeeWard Mills that she started. All her UFO's were divided up between my two sisters and I.
I received this kit. All the pieces were cut out and several attached when I finally opened it up to see what needed to be done. My mother passed away in 1982 and she was unable to do any of her quilting, etc. at least 5-10 years prior to that due to her eyesight. I took it out a couple months ago and decided to finish it by machine applique and make a tablecloth with it. It is very springy and the flowers on it our in different colors of gingham. The amazing thing is that all the pieces were still there. I will aim for next Spring to get it done or at least a good start.