Everyone has played with soap bubbles. They’re an excellent demonstration of surface tension, even more so when filmed at 5,000 frames per second.
Videos

Whipping Instabilities
When jets of liquid are introduced into an electrified medium in a process known as electrospinning, they can exhibit behavior known as whipping instabilities.

Wingtip Vortices in Flight
This NASA Langley Research Center test shows real-time flow visualization of the wingtip vortices off a C-5A Galaxy aircraft.

Drinking Coffee in Space
Operating in microgravity disrupts a lot of everyday routines. However, astronauts have learned to take advantage of surface tension to enable them to drink their daily coffee from a cup still.

The Sound of Helium
Gases of different density are good for more than just physics demonstrations. They also affect the transmission of sound waves, thereby altering our perception of pitch. As fun as sulfur hexafluoride is, though, don’t go playing with it at home; it’s an extremely potent greenhouse gas.

Running on a Pool of Oobleck
What happens when you fill a pool with a non-Newtonian fluid? Well, for one, you can hold races across the surface! In this video, the pool is filled with a mixture of cornstarch and water, a shear-thickening fluid known as oobleck.

Dripping into Droplets
The Plateau-Rayleigh instability is one that just about everyone has witnessed. It describes how a liquid jet breaks up into droplets. Notice the waviness in the jet before breakdown. The tiniest curvature in the jet causes an imbalance in the liquid’s pressure due to surface tension. Because the system is unstable, any small changes will become larger, ultimately resulting in the jet breaking into droplets.

Un-mixing a Flow
Laminar flow (as opposed to turbulence) has the interesting property of reversibility. In this video, physicists demonstrate how flow between concentric cylinders can be reversed such that the initial fluid state is obtained (to within the limits of molecular diffusion, of course!)
For more examples, see the first half of this video.

Floating on an Invisible Sea
Many gases may be invisible to the human eye, but that doesn’t make them the same. Sulfur hexafluoride is more than 5 times as dense as air at standard conditions, which lends itself to some fun demonstrations.

The Weissenberg Effect
Non-Newtonian fluids exhibit all kinds of odd behaviors, even climbing up a spinning rod! This is known as the Weissenberg effect and is associated with polymers in the fluid.
