Martian Successor Nadesico
You're the Next Captain of the Nadesico
S1 E19:
Nergal decides that to keep the Nadesico crew happy, they'll give them a new captain! What better way to pick one than to hold a talent contest? Yurika agrees, and everyone gets excited about the chance to show off. Everyone that is, except Ryoko, who wonders whether she has any other talents besides fighting and killing.