I think the JWST ought to take one picture a year of the Cat’s eye nebula in visible light, for however long the telescope is in operation. Each year publish a new animated GIF with the new image added. You’ll be able to see it expand over time. They did that with a few images from Hubble. Wish they’d continued that, and made a much longer sequence. From a science standpoint, you could actually see a lot of interesting details as the streams of gas and stuff expand and interact, so it would have a real purpose in addition to updating the GIF every year.
I don’t know how the tech works, but I sure like that idea!