I like this clip because it shows what actual starship operations are like without the computer doing all the work. Everything's manual, and the crew is actually calling out sequences. This is very similar to real-life maneuvers on a modern day submarine, and in my opinion, this is one of the most technical, but most "correct" moments in all of Star Trek.
Defiant's shake-down cruise, post-computer-failure. One of my favorite moments in Trekdom.