A puzzle was a type of game played by Humans. One type was the jigsaw puzzle that involved putting irregular shaped pieces together to create a picture.
In 2364, Lieutenant Commander Data got his fingers suck in a Chinese finger puzzle. (TNG: "The Last Outpost")
In 2369, Lieutenant Jadzia Dax compared the Altonian brain teaser to a puzzle. (DS9: "A Man Alone")
In 2370, several characters on the holodeck of the USS Enterprise-D put together a puzzle while on the Orient Express. (TNG: "Emergence")
In 2377, Icheb and Naomi Wildman put together a puzzle depicting DNA together in one of the USS Voyager's cargo bays. (VOY: "Shattered")