Around 1980, I read an anthology of stories by a Sci-Fi author from the 1930s. The aliens portrayed in these succinct short stories were extremely different from Earth creatures, and their peculiar bodies, psychologies, and cultures were key elements. I remember aliens with sideways, drum-shaped heads (no faces) who could see in the X-ray part of the spectrum. Also, a human-chasing alien cop or defender of some kind on its homeworld -- the human escaped by hiding in a tree or something, remembering that these aliens "never look up". And, a story that included aliens who ceremonially collected jewels and practiced ritual group suicide? The book noted that this author was not well-known. I think the editor also commented wryly on the quantly stereotyped international characters (American, English, French, German, Chinese).
You may want to try either "The Best of Stanley G. Weinbaum" published in 1979 or "The Best of Raymond Z. Gallun" published in 1978.