There are many ways of making wigglegrams. The first method is to capture multiple horizontally displaced shots together at once. There were cameras designed for this in the 80s that had 4 lenses, with the widest about eye width apart; the intent was for them to be printed as lenticular 3d images. The second is to have a single shot and then synthetically create additional perspective, such as by using a depth map.

I have done both of these. For the first one[0], I used a Nimslo 3D and for the second one[1] I drew with pastels on paper, and then drew a depth map in Photoshop and used it to displace pixels horizontally for the novel perspectives.

The OP's "accidental" wigglegrams are mostly of the first variety but, the horizontal allignment is not locked in and the shots were taken not at the exact same time. That's why the parallax effect isn't as strong and they don't look as good as the first 3 images that came from Nimso/Nishika.

What is intresting is that both of these two methods are relevant in the age of modern iphone. Iphones capture multiple exposures together in live photos, so moving the iphone laterally when shooting creates a "boomerang" wigglegram. Iphones also capture depth map from the LiDAR sensor when shooting in portrait mode.

Between increased hardware capability and genai for synthesizing additional perspectives, we could be living in a golden age of wigglegrams. Alas, they are out of style.

[0] https://fooladder.com/post/115435676962/at-the-concert [1] https://fooladder.com/post/61216111704/starry-venice