I'd go with a series set in the late 25th-Century (circa 2480) aboard the Enterprise-H.
THE SHIP:
While the Enterprise is primarily on a mission of exploration, she's really a multipurpose vessel capable of carrying out a wide variety of Starfleet missions at the edge of Federation space and beyond. Having been in service for nearly 20 years already, she's slightly smaller than the Enterprise-D with a correspondingly smaller crew, but she's faster and more powerful with a "less is more" approach to her overall design and technology.
THE SETTING:
More than a century after TNG, with the Federation at peace and/or allied with many of its former enemies including the Klingons and the Dominion (there's been no contact with the Borg since VOY's finale). As the series begins, however, there's been rumblings of a massive galactic government in the deepest regions of the Alpha Quadrant that is very similar to the Federation with its own "Starfleet-like" navy. The Romulan Empire has been in another long period of isolation since the destruction of their homeworld in 2387.
THE CHARACTERS:
- THE CAPTAIN: Human female, age 50+. A veteran Starfleet freighter skipper who actually didn't want the very prestigious Enterprise and only agreed to take command if her enlisted husband could come along, thinking Starfleet wouldn't go for it. She's a master of cowboy diplomacy, but prefers to avoid using it whenever possible. Has a very irreverent, working-class girl personality with a bit of a potty mouth at times.
- THE FIRST OFFICER: Android female, age 30+ (in appearance). A Soong-type android like Data, but the only thing she physically has in common with him is her yellow eyes. At times she can be like a sexy walking computer, but she also possesses a self-depreciating sense of humor. Her biggest frustration is having to compensate for the captain's occasional lack of tact in some situations. Has a love-hate relationship with the chief medical officer.
- THE CHIEF MEDICAL OFFICER: Human male, age 30+. A brilliant surgeon and biochemist, he's extremely young for his post, but his skills more than compensate for that. Somewhat eccentric with a tendency to disregard rules when necessary. Frequently trades barbs with the first officer, who he sometimes jokingly calls a windup doll.
- THE CHIEF OF SECURITY: Jem'Hadar male, age 10+ (middle-aged by Jem'Hadar standards). Fearless, always ready for a fight, he is also knows when not to fight. Despite his fearsome appearance, he's very charismatic and is quite the ladies' man.
- THE OPERATIONS CHIEF: Human male, age 50+. A career enlisted man and a veteran of numerous starships. An everyman who knows how to deal with officers and enlisted alike. He's both the captain's closest advisor and her husband, although the circumstances of how they got together is often dismissed as "a long story."
- There are other supporting characters like various helmsmen, science officers, engineers, etc. that will come and go when needed (that goes for the main characters as well).
THE FORMAT:
A mix of standalone episodes and multi-episode arcs. One or two seasons may have an overall season-long arc, but still allow for mostly standalone episodes.
THE LOOK:
Bright, but not blinding. Visually, the show should be very colorful, but not garishly so, with the sets--particularly the Enterprise interiors--being well-illuminated. The uniforms should allow for people to stand out from the background, but not rely on black as the dominant color. It should allow for even more contrasts when our heroes go to less than ideal places.
THE TONE:
Optimistic, but with a touch of realism. Our heroes are Starfleet explorers from a largely ideal society, but born of a post-Dominion War era, they're also aware that sometimes going where no one has gone before can be dangerous and some ideals will be a struggle to maintain.