Well we all know that we want a new series but if it were yours and you had to pick a whole new cast who would you get. I will tell you mine. You can specify the species of the character or even name them. Or you can be as basic as you want.
Far flung future of the original timeline (not JJ Verse), new ship, new federation, exploration across the vastyness of space to another galaxy entirely.
The Captain (Russel Crowe) Human, Relaxed, Casual, more like Kirk than Picard, but with some of the best of both.
The First Officer (Famke Janssen) Andorian, former Intelligence Operative.
The Pilot (Michael Clarke Duncan) Klingon. Military demeanor. Excellent at his job.
The Ops Officer (Peter Dinklage) Tellarite. Jovial, friendly, quick with the drink.
The Tactical (Ship Weapons) Officer (Heather Graham) Ocampan, driven to accomplish a LOT in her short life.
The Security Officer/Team (Channing Tatum and a rotating cast of xtras with the potential to become regulars) , a Starfleet Marine (MACO) Officer leading a mixed group of starfleet security and marines. Leader, young and energetic. Lots of charisma.
The Science Officer (Alan Cumming), Vorta. Superior and aloof, but unmistakeably skilled.
The Chief Medical Officer (Queen Latifah), Human. Full of attitude, with a friendly bedside manner. Hates away missions.
Lastly,
The Chief Engineer (Catherine Zeta Jones) Romulan. Onboard as an expert on the ship's cloaking technology.
The Admiral: Michael Ironsides or Clint Eastwood
The Captain: Cole Hauser
First Officer: Mila Jovovich
Tactical Officer: Ellen Pompeo
Science Officer: Neal McDunough
Helm Officer: Selma Blair