In the American Campaign, mission 3 is the Battle of Santa Cruz, and for this achievement it must be played on Veteran difficulty. A large fleet (the Vanguard force) will come in from the west and your standard fleet doesn't really stand a chance against it. Note that once you have the objective of sinking the Japanese carrier Zuiho be aware that this feat ends the mission. Sink all of the Vanguard force prior to attacking the Zuiho to ensure you unlock Take No Prisoners. This is the one campaign achievement that you should not attempt during the normal campaign. Wait until you beat the final US mission and then come back with the upgraded Avenger. It is very close to impossible to earn this achievement without the TBM AVenger and its Tiny Tim rockets.