Motion of an elevator is a rectilinear motion as it travels in a straight line.
The motion of the pendulum of a clock represents periodic motion as the pendulum crosses the mean position at constant intervals of time.
You might have seen a merry-go-round in amusement parks. When they are in motion, each part of it moves in a circular path with a fixed radius. Hence, motion of merry-go-round is an example of circular motion.