Here's what may be a controversial opinion/idea for a Star Trek series: Mix elements of Star Trek + Final Space + Farscape.
Premise: Similar to the opening on Voyager, a Federation starship encounters a space weirdness that throws it somewhere, where and even when is left a mystery. During the emergency, all hell breaks loose, most of the command crew is killed, and what's left opts to attempt escape on shuttles and pods in the middle of the event. The main character of the series, who is a junior officer, is left behind on the ship ... alone.
He awakes to a damaged ship where the computer has been damaged to the point that star charts and the ability to compute the ship's location have been lost. So, unlike Voyager, he has no idea which direction to even go towards home. It's also implied that whatever weirdness caused the event may have affected time, since the ship's computer shows signs of operating for a very long time even though the main character doesn't seem to have aged much, and the computer may have spent gods knows how long attempting to repair the damage to the ship, and in doing so it may be somewhat sentient.
The region of space the ship has ended up in has all new types of weirdness, but also an authoritarian government that all the cultures they initially encounter fears. Over the course of the season, the main cast is a rag-tag group of characters that come together to become the new crew of the ship episode-by-episode, with the junior officer that was left behind slowly emerging as worthy of being this lost ship's captain in how he brings his collected crew together and responds to the various crises. The Federation starship may even slowly get refitted with new tech along the way and be somewhat altered as things go along. And little-by-little, the ship spreads Federation values among the cultures it encounters, possibly planting the seeds for a new Federation in whatever part of the universe it ended up in.
Eventually, at the end of the first season, the ship's journey bothers the wrong people and brings it into conflict with the empire that claims this particular area of space. The twist comes when we find out the empire was founded by the survivors who left him behind (i.e., because of the time weirdness of the anomaly, they showed up in this area of space before he did). Also, this new empire is a blend of the empires we've already seen, with elements of the Klingons, Romulans, Cardassians, Dominion etc., that have been carried over. Instead of using Federation tech to explore and build connections like the main character, things get twisted and they decide to use their resources for control. We also find out that whatever caused the original anomaly may be a Q-level entity and may be directing the "evil" Starfleet survivors in their actions of establishing control through their empire.
And that entity may be the only source of knowing where home is and how to get home.
