Not too long ago, these were referred to as simply “cool animated gifs”. These days they go by much more artsy name of Cinemagraphs.

 

In the picture: ZX Spectrum microcomputer, an Italian analogue sound mixer and a National TV set. Only TV still works. Image brought to life in After Effects.

PS. Yea, I just realized these are called Cinemagraphs, not Cinegraphs. Corrected the spelling throughout the post.