It's a bit like describing food or music, there isn't a scientific breakdown, it's a bit of a "pick what you like" thing, but with diffusion, it does help to know the basics of how the filter was designed.
All diffusion works on the principle of overlaying a sharp image and an out-of-focus image. So in theory, "mist" / "fog" filters, which are really more light-scattering filters like Low Cons, are not true diffusion filters, but since they also soften the image as well, most people consider them diffusion. And to some extent, diffusion filters scatter light also (i.e. they "halate", cause bright areas to glow into dark areas).
And you have some diffusion filters which mix both techniques, they have light-scattering "mist" particles and they have elements that diffuse the image (throw parts of the image out-of-focus while leaving other parts sharp.)
The oldest diffusion filter is probably the net or gauze over the lens -- the stretched material allows a sharp image to pass through the open weave while causing other parts of the image to become diffracted and thrown into soft focus when light hits the lines of the material. The material also causes light to spread and flare around points of light.
Glass diffusion works on a similar principle... there is a pattern in the glass that causes light to become distorted at that point while allowing sharp detail to pass through the clear parts of the glass. Apparently if you look at the old Mitchell diffusers under a microscope, you see an indented pattern of rhomboids or trapezoids or something like that. In Classic Softs, it's a pattern of round lenslets that look like bubbles or round indents, and the pattern is a symmetrical grid. In Soft-FX and Diffusion-FX filters, the indents are kidney-shaped and they are scattered more randomly.
The advantage of the random shapes and patterns that Tiffen uses for the Soft-fX and Diffusion-FX is that the pattern is less likely to come into focus as you stop down (or use a camera with more depth of field.) Also, the old pattern of Mitchells have a tendency to throw the whole picture slightly out-of-focus, which is not really what a diffusion filter is supposed to do, it's supposed to overlay a sharp and a soft image over each other. So there is a certain "look" to Classic Softs, and certain artifacts that show up at different focal lengths as the bubble pattern affects parts of the frame, sometimes causing a ring effect around a light:
Schneider later created a smaller lenslet size, and more randomly scattered, for a more subtle effect, though the main reason was to keep the pattern from coming into focus when used on cameras with 2/3" sensors... they called that filter "HD Classic Soft", but it works great on 35mm cameras, just that the effect is less obvious, and there are fewer artifacts.
Tiffen did something similar in that they took their Diffusion-FX filter and removed the pattern of black dots (there to counteract the loss of contrast that diffusing points of light in the frame causes)... the dot pattern was coming into focus on smaller sensor cameras, those filters are called Digital Diffusion-FX I believe.
GlimmerGlass is more like a "mist" filter, similar to a Black ProMist but the mist particles are slightly different and instead of black specks to counteract loss of contrast, there are specks of glitter which have some effect as well in reducing the milkiness that the mist particles cause.
Schneider took their 1/8 Black Frost filter (similar to a 1/8 Black ProMist but a bit more subtle I think) and combined it with the Classic Soft to create the Classic Soft Black filter series; they also did the same thing with their HD Classic Soft but called that series Hollywood Black Magic.
Ira Tiffen designed the Soft-FX to replace Tiffen's old Diffusion Filter, which was a bit milky, more like a Fog. He later designed the Diffusion-FX filter as sort of the ultimate in subtle diffusion; the idea was to reduce any of the telltale artifacts of diffusion filters like halation around points of light (glowing) and loss of contrast, while retaining some definition to the image. It works great when you want to soften a face in a scene that was shot sharp, for mixing diffused shots with sharp shots. My only problem with the filter is that it does its job too well, I miss the artifacts of diffusion, the halation around lights, etc. So I only use Diffusion-FX (Black usually) when I don't want the movie to look diffused but I am worried about the occasional close-up being too sharp. A similar filter would be the lightest (1/8) Classic Soft, but the 1/2 Black Diffusion-FX is even more subtle and artifact-free. However, most of the times when I use diffusion, I'm going for something of a romantic effect and want those little kicks off of points of light, the glowing look, etc. But whether I use Classic Soft or GlimmerGlass just depends on whether I want more misty halation (glowing) rather than softness.