Thanks, Vorus, but it doesn't seem like much of an accomplishment. FTL combat was hinted at in "Balance of Terror" and depicted outright in "Arena" (both first season). It was also shown in the second season episode "The Ultimate Computer" and the third season's "Elaan of Troyius." Several other episodes stopped short of depicting FTL combat, but they made it clear that warp speed pursuit and intercept was possible and that warp drive was not an automatic escape from trouble. These include "Day of the Dove", "Obsession", "The Lights of Zetar" and "The Enterprise Incident."
"The Doomsday Machine" is a great episode for space combat, but it wimped out by having the warp drive disabled on both Enterprise and Constellation.
"Damn the torpedoes! Four bells, Captain Drayton!"
(Likely actual words of Admiral David Farragut, USN, at the battle of Mobile Bay. Four bells was the signal for the engine room to make full steam ahead).