Here are a few simple applications of various ideas, mainly things such as genetic algorithms,
physics and general ALife topics.
Cart and Pole
The cart and pole is a classic control problem, used by some as a benchmark for
a controller. The simple version is trivial to control, which is why it is a good
way to check your controller is working.
Cart and pole applet, controlled by an evolved neural network
Ants are often studied by Artificial researchers. This is probably because each individual
ant is quite simple, but the ant colony as a whole can be quite sophisticated. Ants show
classic emergent behaviour.
Foraging in ants, using pheromones