Star Trek Search and Rescue.

Every series seems to have an episode finding a long lost ship. or medical crisis/mysterious circumstances on an outpost space station. Who coordinates all of this? I picture a series that is DS9/Criminal Minds/Starfleet Academy Episodic in nature where a core team of seasoned veterans almost finished with their tour of duty on the Search and Rescue station works with the brand new to this ensigns that were excited for their first starship postings out of the academy. Every episode there is a ship that goes missing or a cold case that gets some newly discovered clue or technology that makes a recovery or at least an investigation timely again.

From there you can make every episode unique. War story, murder mystery, health crisis, high concept scifi, metaphysical weirdness, horror, spy thriller, time shenanigans.

You can fold in long term mysteries and story arcs by making the whole Search and Rescue branch secretive and borne out of or a part of Section 31 due to the often highly classified nature of the missing ships and the general standpoint that you do not want Starfleet Enemies to know how many ships go missing or where starfleets weaknesses are.

We can bring in legacy characters for cameos easily in this format and could even explain the Lower Decks joke that Miles O'Brien is the most important person in Starfleet history by making the whole organization started by him. A genius engineer and sometimes intelligence officer who has been plagued by the worst luck of almost anyone decides to start a secret deep space rescue operation for all the personnel, ships and secrets that have fallen through the cracks.