There are many examples of projectile motion in the real world.
Any object that is launched could be in projectile motion.
A few of them are shown below.
The parabolic shape can clearly be seen in this picture of a fountain shooting water.
"Projectile Motion of Water" by zandperl is licensed with CC BY-NC-SA 2.0. To view a copy of this license, visit https://creativecommons.org/licenses/by-nc-sa/2.0/
Sports are a very common place to see projectile motion. Shooting from the free throw line is an example of projectile motion.
Chris J. Nelson, CC BY 3.0 <https://creativecommons.org/licenses/by/3.0>, via Wikimedia Commons
Ballistics explores the projectile motion of bullets leaving a gun.
"Soldier Fires Sig Sauer Pistol in Jordan" by Defence Images is licensed under CC BY-NC-ND 2.0
The projectile in each of these scenario follow a trajectory that is a parabolic curve. Click here to see an analysis.