In the Super Mario Bros. series, Mario is known for his jumping ability, he can easily jump twice his own body height if he gets a running start.
But, interestingly, he can jump even higher given the right circumstances.
First, find a Super Mushroom. A fire flower would work, but they don't move, so the effect isn't as obvious. Starmen won't work at all.
Then jump so that you're coming down as you collect the power up.
While the powering up animation is playing continue to hold the jump button. Once the animation stops animating, you'll jump again!
I haven't really found very many uses for this tip, other than showing off, but maybe you can.