A stuffed animal was a toy created for children, which resembled an animal.
A stuffed animal was among the objects put out by Rianna Mayweather in order to make her son feel at home when he returned to the ECS Horizon in 2153. (ENT: "Horizon")
When Michael Burnham was a small girl living with her biological parents, she had a stuffed animal resembling a tardigrade. (ST: "The Girl Who Made the Stars") Years later, during the Klingon terror raid on Doctari Alpha in 2236, Michael clutched a stuffed rabbit while she hid in a cabinet. (DIS: "Perpetual Infinity")
In the alternate reality, when Lucille Harewood fell ill, she was supplied with some of her stuffed animals by her parents, including a stuffed cow and two different stuffed rabbits. (Star Trek Into Darkness)
In 2266, a stuffed animal based on the cartoon character Krazy Kat was in the possession of an Only girl on Miri. (TOS: "Miri")
Alexandra took a small stuffed animal with her when she was abducted by the Aldeans in 2364. (TNG: "When The Bough Breaks")
In 2367, two science officers replicated a stuffed rabbit for their son. (TNG: "Data's Day")
Clara Sutter owned a stuffed rabbit and another stuffed animal. (TNG: "Imaginary Friend")
Molly O'Brien had a stuffed animal in her quarters aboard Deep Space 9 in 2369. (DS9: "If Wishes Were Horses")
In 2373, Q inquired Neelix about Kathryn Janeway's favorite things and listed chocolate truffles, stuffed animals, and erotic art among the possible choices, but Neelix rebuffed that Janeway couldn't be bribed. (VOY: "The Q and the Grey")
B'Elanna Torres owned a stuffed Toby the targ doll that she took on away missions longer than a day. (VOY: "Tsunkatse")
Soji Asha owned a stuffed animal called Squoodgy. She believed she had possessed Squoodgy since childhood, and kept it in her quarters on the Artifact. (PIC: "The Impossible Box")