Warp drive, already working on. The theory was postulated back in 1994, and refined more in 2012 so the energy requirements are substantially reduced.
Impulse drive, basically they are fusion thrust engines. Nuclear engines or plasma engines are already being worked on, and it wouldn't surprise me that by 2063 we will have nuclear fusion reactors portable enough to thrust a million gross tonne starship.
Photon torpedoes, antimatter ballistic weapons like missiles. So except for the munitions, we already have.
Shields, we are developing magnetic shields that can protect the ship from interstellar radiation to bend particles away.
Phasers, no clue but more and more powerful lasers for the military are in the works.
Artificial gravity -- no clue, same with IDFs and SIFs.
Naviational deflector, it might be possible to give space dust an electric charge via -- say microwaves and the ship's magnetic shields can sweep them away.
Thrusters, some scientists have claimed to have developed metallic hydrogen, hydrogen that's super compressed and super cooled to were it becomes a metal that if the claim is right can be used for single stage rockets, in which a shuttle craft can take off and land without having to jettison anything or to maneuver a million gross tonne starship.
Building the million gross tonne starship, there are developments in carbon nanotubes where they are many times stronger than steel, which also means lighter. And if the ship is being built at a shipyard in either San Fransisco or Riverside Iowa, lifting it off would need either metallic hydrogen or fusion thrust plasma engines.