1) You can find countless examples on this forum.
2) When Bernd Schneider from "Ex Astris Scientia" writes his episode reviews, he writes down continuity errors in an extra section.
Here is a detailed, organized, and large list of continuity errors:
Star Trek Discovery season 1 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Discovery season 2 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Discovery season 3 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Discovery season 4 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Discovery season 5 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Picard season 1 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Picard season 2 episode guide and reviews
www.ex-astris-scientia.org
Star Trek Picard season 3 episode guide and reviews
www.ex-astris-scientia.org
Star Trek: Strange New Worlds season 1 episode guide and reviews
www.ex-astris-scientia.org
Star Trek: Strange New Worlds season 2 episode guide and reviews
www.ex-astris-scientia.org
Star Trek: Strange New Worlds season 3 episode guide and reviews
www.ex-astris-scientia.org
3) Major Grin's YouTube channel:
https://www.youtube.com/@MajorGrin/videos