For Amiga:

(all entries marked "ff###" are directories where the inividual archives of the Fred Fish Disk set available at ftp://ftp.funet.fi/pub/amiga/fish/ and other sites)

General Mandelbrot generators with many features: Mandelbrot (ff030), Mandel (ff218), Mandelbrot (ff239), TurboMandel (ff302), MandelBltiz (ff387), SMan (ff447), MandelMountains (ff383, in 3-D), MandelPAUG (ff452, MandFXP movies), MandAnim (ff461, anims), ApfelKiste (ff566, very fast), MandelSquare (ff588, anims)

Mandelbrot and Julia sets generators: MandelVroom (ff215), Fractals (ff371, also Newton-R and other sets)

With different algorithmic approaches (shown): FastGro (ff188, DLA), IceFrac (ff303, DLA), DEM (ff303, DEM), CPM (ff303, CPM in 3-D), FractalLab (ff391, any equation)

Iterated Function System generators (make ferns, etc): FracGen (ff188, uses "seeds"), FCS (ff465), IFSgen (ff554), IFSLab (ff696, "Collage Theorem")

Unique fractal types: Cloud (ff216, cloud surfaces), Fractal (ff052, terrain), IMandelVroom (strange attractor contours?), Landscape (ff554, scenery), Scenery (ff155, scenery), Plasma (ff573, plasma clouds)

Fractal generators: PolyFractals (ff015), FFEX (ff549)

Fractint for Amiga
http://spanky.triumf.ca/pub/fractals/programs/AMIGA/
Lyapunov fractals
http://www.itsnet.com/~bug/fractals/Lyapunovia.html
XaoS, by Jan Hubicka, fast portable real-time interactive fractal zoomer. 256 workbench displays only.
http://www.paru.cas.cz/~hubicka/XaoS/

Commercial packages: Fractal Pro 5.0, Scenery Animator 2.0, Vista Professional, Fractuality (reviewed in April '93 Amiga User International). MathVISION 2.4. Generates Julia, Mandelbrot, and others. Includes software for image processing, complex arithmetic, data display, general equation evaluation. Available for $223 from Seven Seas Software, Box 1451, Port Townsend WA 98368.