Let's see now, we already have computers that will transcribe what you say (in original Trek, there was an episode featuring a typewriter that typed whatever the characters said).

We have the communicators. They're now called cell phones.

We have some of the medical technology from Sick Bay.

Photon torpedoes won't do much good, unless they blast the enemy with an enormous amount of radiation.

A matter-anti-matter engine is possible.

Time travel probably isn't, neither is warp drive.

The replicators are more than possible. Nanotech will give them to us.

The transporter room is probably not possible, to record our body patterns and then shove our atoms from the transporter room to a planet's surface seems impossible due to the inherent uncertainty of those patterns and the energy needed to move them.

The Holodeck and Holosuites are possible, if we bear in mind that there can be no real physical interactions as depicted in Trek in those VR universes. Trek made them a combination of VR and physical reality. When we combine Second Life with the detail work of Pixar, we will begin to approach Holodeck tech.

The Singularity will occur well before we are able to go warping off to other star systems. I suspect that the Singularity time line has made all such SF scenarios obsolete. (Hint: there will be no agricultural colony planets.)

I'm looking forward to this show. I watched original Trek when it was new. I was in junior high at the time. I thoroughly enjoyed them.