The Japanese Zero was a type of aircraft used by Japan during the Second World War.
The airplane was featured in the movie From Here to Eternity, wherein Burt Lancaster's character shot several of them down. (DS9: "Far Beyond the Stars")
A Japanese Zero appeared while Captain Kirk and a landing party from the USS Enterprise were encountering various constructs that were made to look like people, animals, and objects that they were first thinking or talking about while on a lush planet during shore leave in 2267. The encounter with the plane and its pilot included landing party members, Angela Martine and Lieutenant Esteban Rodriguez, being strafed by the Zero and, in their running from it, ended up with Martine striking her head against a tree, knocking her unconscious. Later, the Zero strafed the rest of the landing party as well. (TOS: "Shore Leave")