On the bright side, the article this article is about seems to contain at least the list of animals, see table 1: https://arstechnica.com/science/2021/05/from-apes-to-birds-t...
This table of 65 animals is "play vocalizations", though, and includes animals like domestic cats and dogs. I've never seen a cat laugh at a situation, in real life or on the Internet, so it seems this arstecchnica article about "laughing animals" should be taken with a few grains of salt and is really more about playing and making a noise to indicate that they're playing (and shouldn't feel attacked) to their playmates.
I do like that humans are categorized with the great apes.