Do you know what's surprisingly hard to find online? A cross stitch pattern for a small, ornament-sized plane. But I found one for a helicopter!
DMC colors used:
Red – 304
Yellow – 972
Green – 910 or 699 (similar)
White for window of helicopter – BLANC
Fabric used: 14-count white Aida cloth
Finishing directions for turning this into a Christmas ornament can be found in this post.