I've always been dissatisfied that simple Mandelbrot explorers proport themselves as a Fractal Graphing Calculator. In summer break between semesters, I started making a real graphing calculator, parsing LaTeX to WebGL to let you graph most any combination of z and c.
Fun ones to try include - sin(z^2+c) - c^z - z^{1.7}+c
Also supports animation, just enter any other letter and turn it into a variable. Supports Mandelbrot or Julia Set style calculation.
Use with a graphics card or integrated graphics