I excluded Star Wars because of the sheer volume of material the other aforementioned IPs have in comparison to Star Wars. Disney torpedoed all expanded universe comics, books and games when they bought the IP. Now Star Wars canon consists of the movies and the TV shows.But Star Wars is only a decade younger and it doesn’t relax on those, and Star Trek has had more in common with it than any of your examples, except perhaps Doctor Who, which again isn’t recasting, say, the Fourth Doctor because he might be seen as the iconic iteration, along with Sarah Jane Smith and K-9. The closest it ever came to that was in the early, off-canon films with Peter Cushing. I mean some property owners can actually choose showrunners that can keep going with new ideas.
Prequel Trilogy - Divisive at the time but finding reappraisal and support recently
Clone Wars + Rebels - Cancelled after several seasons and then brought back due to popularity.
Rogue One - A film where the characters, whose names nobody can remember. Band together to get a thing, to do a thing, in another movie... A glorified commercial for Star Wars/ANH.
Solo - The first Star Wars to flop
Original Trilogy - The culture icon. What everybody knows and loves
Sequel Trilogy - So far has largely been reuse and remakes of the OT with a different cast.
Resistance + Forces of Destiny - Both cancelled after 1 season.
The Mandolorian - To Be Determined
Compared to Trek with it's 7 different series (TOS, TAS, TNG, DS9, VOY, ENT, DSC), 755 episodes, and 13 movies. There is a stark difference between Trek and Wars. The same can be said about Doctor Who. Which has 851 episodes, across a dozen or so incarnations. Plus movies and weeks of audio book material.
When I talk about a Trek having a looser continuity, I mean in reference to what Trek can access for the movies. Should we ever get another Trek movie (looking unlikely as we've been on a 3 year hiatus). I wouldn't want anything off limits. Paramount will never go for a TNG or DS9 reboot on the big screen. But if they kept the Kelvin timeline, I'd like to see that crew cross swords with the Borg, meet a young Odo (or another changeling), meet the Q, bust up a Ferengi smuggling operation, etc.
The only ones who keep strict canon are us die hard fans. But I think we can afford to be lax on somethings going forward. It's not like TPTB have the imagination or inclination to do/show more with other notable races in Trek or crews that are outside the TOS family.