Coolup, since you live in Oz, a lot of the breeds mentioned are either unavailable to you, or have a different name. The English Angora you have. The German Angora and the Giant Angora are pretty much the same thing. I'm not sure about this one, but it kinda looks like your Swiss Fox is very similar to our French Angora, though perhaps a bit smaller and maybe with a shorter coat. If you just want a longhair as a pet, the Jersey Wooly is pretty much a Netherland Dwarf with a French Angora coat. The French Angora has a higher percentage of the longer, coarser guard hairs in the wool than the English Angora does, so the French-type coats are less prone to matting (a good Wooly doesn't mat up unless it is shedding). The English coat is softer, and more prone to matting; the best way to maintain an English coat is by using a blower on it once a week or so.
The German Angora has a unique coat. There are 3 different types of hairs in the coat; the usual underwool and guard hairs, plus a hair that is wool-like for part of its length and hair-like at the tip.
You have one breed that we don't have here - the Cashmere Lop. Its smaller counterpart is the Mini Cashmere Lop. As near as I can tell, the Mini Cashmere Lop is the same as our American Fuzzy Lop - a roughly 3 pound rabbit with a French Angora coat.
In the U.S, the Jersey Wooly and the Fuzzy Lop are strictly decorative; they don't produce wool of sufficient quantity or quality to really qualify as woolers. I'd bet the same is true of the Cashmere Lops. If you are looking for wool production, it looks like your best bet would be the English or German Angoras. A good, dense coat of correct texture is probably the most important thing to look for when buying a wool breed, though of course you want the rabbit to have been maintained in good health and clean conditions.
Pulling wool does not hurt the rabbit, if it is done correctly. While you can shear a rabbit, the wool is fine, and it looks like the devil after clipping. Clipping leaves a blunt tip on the fibers, which tend to stick out when spun into yarn. It also ruins the coat for show purposes. The best quality wool is plucked, which leaves the natural, tapered end on the fibers. A well-bred Angora "blows" its whole coat at the same time, and the wool can be pulled off with no discomfort to the rabbit at that time. A lot of spinners love to do demonstrations where they sit with a rabbit in their lap, and they pull the wool from the rabbit and spin it right there.