As I played with the various templates in Tesselmaniac!, I found that sometimes I would create something quite similar to what I had done in the past. One example is shape that resembles a butterfly. Below is the most recent version.
TessieBugs. I kept the new version because it is so easily recognizable as an insect.
Creating Escher-like pattern with the isohedral classification IH74 is challenging because there are not a lot of real-world objects that mirror both horizontally and vertically. Below is a stylized moth that fits the classification.
myfonts. On the page linked, there is a link to a file that includes samples of all the patterns included in the typeface.
(See also this post at nohypetype.blogspot.com.)