My GeoGebra List (updated 12/4/2015) in no particular order (See this page also)
Creating a regular pentagon starting with a square, and using only Euclidean tools (compass and straightedge.
Polynomials and the unit circle: applying Maclaurin series
A Ferris wheel being built here.
GeoGebra is not all geometry. Try some factoring!
Adding two fractions. That's all!
The Crazy Circle Illusion: How are these dots moving? I wish this one was mine, but it isn't!