I rewrote my strange attractor generator, in Flash:

Try it. Click to generate new attractors.

The attractor coefficients are still chosen randomly. But now, attractors that explode/collapse are rejected. Also, attractors that create “boring” shapes (by drawing the same pixels repeatedly) are discarded. It’s a little slow, but I’m sure the speed could be improved using Pixel Bender.

Also, here’s the source code. (Compile with Flash CS5.)