Star Trek: D·A·C

In any match type, do not take enough damage to cause you to eject from your ship and still earn at least 15 kills before the end of the match. Can be done while you’re trying to earn the “NCC-1701” achievement to save some time. Can be easily attained by using the Kobayashi Maru cheat code. (Pause game and input LT X Y Y X RT.) Achievement unlocks at the end of the match.

Done on a 1 vs 1 team deathmatch to prevent opponents from teaming up on you. Although the cheat will beef you up, all ships are still susceptible to death when facing a bomber class ship.

I did this in solo team deathmatch with the flagship because of its high defense and offense capabilities. I rigged it to be 4 v 2 (put yourself on the romulon side, add a third bot to the federation, switch back over to federation) Then I just did as Predalien said, hit run and recharge, wasnt hard.

in addition to other solutions....set AI to EASY

i set max teams, AI on easy, kill limit 200 (always max potential for achievements), 20min time limit + Kobayashi Maru cheat code (Pause game input LT -Y -X -X -Y -RT)
and had no issues. choose whichever ship fits your play style but i suggest using the flagship for the achievement NCC-1701 listed below

work towards -
Kobayashi Maru = Press start, then: left trigger, Y, X, X, Y, right trigger in a single-player game.

starfleet medal of honor = 0 deaths/ejections + 15 kills

bridge commander = 250 kills

no mercy = 50 escape pod kills

neros rage = Destroy 3 enemies while using a single invulnerability powerup

NCC-1701 = Earn 250,000 points as the Flagship class in one Team Deathmatch game

that should cover most of it, fun and simple- enjoy

Win a match getting 15 kills without dying or ejecting, easiest to do 1v1 against either the AI or a boosting buddy. If against the AI always try to have an invincibility powerup ready and Kobayashi Maru entered.