Captain Picard Day was an annual event held aboard the USS Enterprise-D for the ship's schoolchildren. Activities included a contest, judged by Captain Jean-Luc Picard himself, in which the children created paintings and models of the captain. Picard was himself not very fond of the event, as he generally did not respond well to children.
In 2370, a seven-year-old named Paul Menegay won the contest with a orange clay sculpture of the captain's head. Much to Picard's dismay, Commander Riker took great pleasure in the proceedings. For revenge, Picard arranged to have a "Commander Riker Day" the following month and planned to enter the competition himself. (TNG: "The Pegasus")
Memorable quotes
"They seem to have a rather exaggerated impression of me."
"I don't know; I think the resemblance is rather striking. Wouldn't you agree, Number One?"
- - Picard and Riker, while Riker holds a puppet of Picard and imitates his voice
"Captain Picard Day?"
"Oh uh ... Yes it's a ... it's ... it's for the children. I'm a ... (nervous chuckle) I'm a role model."
"I'm sure you are. Starfleet out."
- - Admiral Blackwell and Picard, regarding the decorations behind the latter during communications