This page contains information regarding Star Trek: Short Treks, and thus may contain spoilers.
In 1969, Lieutenant Kyle offered chicken soup from a food slot to an air police staff sergeant who had accidentally been transported aboard the USS Enterprise. The staff sergeant was amazed that it tasted like real chicken soup. (TOS: "Tomorrow is Yesterday")
In the late 2250s, chicken noodle soup was one of the many food items vomited out by food synthesizers when Me Hani Ika Hali Ka Po and Sylvia Tilly were in the mess hall aboard the USS Discovery. (ST: "Runaway")
.When Captain Kirk felt depressed about M-5 multitronic unit apparently making him useless in 2268, Kirk did not want Doctor McCoy bring him something, but McCoy replied he didn't bring chicken soup but a Finagle's Folly known "from here to Orion". (TOS: "The Ultimate Computer")
When confronted with a choice which had led to the death of Ahni Jetal in 2375, The Doctor mused with himself that he couldn't have done anything, as everything had been pre-determined 20 billion years ago, including particles binding together to "starships and holodecks and chicken soup". (VOY: "Latent Image")