
The new Star Trek Universe. The JJverse, or Abramverse if you will.
2364.
It has been just over 107 years since Vulcan was destroyed and James T. Kirk ridiculously came to command the flagship of Starfleet, The Enterprise, on it's maiden voyage and then did some stuff.
Now though, there is a new Enterprise and it needs a new Captain and a new crew. Your mission is to crew this new flagship for its maiden voyage and to set it on its own adventure.
Cast: Use the same names, but feel free to change personalities and switch things around.
Ship: The only limitation is that it is called Enterprise. It can be a close relative to the 1701, or it can be a crazy long lost drunken cousin. It can be an A, B, C, D etc. Is it an exploration vessel armed to the teeth to deal with the unknown on the fringes of space? Is it a battle cruiser rushing from hotspot to hotspot defending the Federation against ever more aggressive enemies. Is it perhaps the aggressor, and the flagship of the mighty and feared Starfleet?! (Bonus props if you post you design)
Federation: What has become of the Federation in 107 years? Has it drastically changed since the loss of one of its charter members in Vulcan? Has it survived in it's old form or has something new arisen out of that catastrophe? Something better? Something worse?
Starfleet: Stated to be a "peacekeeping and humanitarian armada", did it to survive the catastrophe of Vulcan? Did the loss of faith in Starfleet's ability to protect Federation worlds force it down a new path? Was it able to stay the course and prove that it's old philosophies were still the way to go? Did it become a proactive force, seeking out aggressors, or did it maintain itself as a reactionary force, amassing to defend when needed?
The Romulans: Presumably strengthened by the events between 2233-2258, or at least, not weakened by them, did the Star Empire lash out when its enemies were at their weakest? Did they seize the moment militarily? Politically? Scientifically?!?! Or did they scheme for the next 100 years and are finally ready to strike?
The Klingons: They suffered a massive defeat in 2258. 47 ships lost in one engagement. Was the might of the Klingon Empire broken in that battle? Were they able to hold on to their empire over the next 100 years? Was that battle even of consequence to the mighty warriors that reside behind the Neutral Zone. Could they have banded together with Starfleet for mutual protection? With the Romulans?!
Basically, go to town. You have a fresh slate. You are beholden to nothing but the basics.