A cape was a cloth covering worn loosely around ones' shoulders.
Akaali wore capes, as did Hoshi Sato and T'Pol during their covert mission on the Akaali homeworld. (ENT: "Civilization")
In the mid-23rd century, a captured Harcourt Fenton Mudd android promised his Orion torturer so much latinum he would be able to wear a cape. (ST: "The Escape Artist")
In 2371, within the holoprogram Janeway Lambda One, Mrs. Templeton instructed Bridget to take Lucille Davenport's cape. (VOY: "Cathexis")