I recall reading a short-story collection in early '70s; the collection could have been much older, since it was most likely a library book. I think it was from one author, but am not positive.
What I recall is that each story had some kind of tie-in to an earlier story. One of the stories involved animals genetically modified to be servants rebelling against humans for their freedom. A later story involved robots (or something similar) rebelling against the genetically modified animals for their freedom.
I seem to recall themes of prejudice and freedom running through at least some of the stories.