201 Star Trek 1, Star Trek: The Motion Picture has been moved to http://startrekreviewed-tvandmovies.blogspot.com/2012/01/movie-1.html
These are individual films or short series by children or young teens. In cases where the kids/teens stayed with it and created more shows as they got into their late teens and twenties, those shows will have their own pages and will only have links here. See also http://startrekreviewed.blogspot.com/2009/06/204.html . Several early Star Trek Fan Films are Kid Trek.
(A) Star Trek: The Unknown Quest (Silver Age, Kids, some special effect and green screen work. Parents or grandparents are clearly involved.) Seems to be a family affair, Ben Wallwork, Freya Wallwork. Sounds English to me) (Both released August, 2013):
Episode 1: The Never Ending Captain https://www.youtube.com/watch?v=462V3wNfdcE (12:24)
Episode 2: https://www.youtube.com/watch?v=vfhjT9-R1NM (8:50)
(B) November 18, 2016, From Creative Princess 2012, a Star Trek parody, (Child actors, green screens, toys for props and special effects. Golden Age. Adults are clearly involved.) "Star Trekkies," https://www.youtube.com/watch?v=wGIjgASWgDo(4:12).