I have thrown in almost every throwing shoe available throwing shoe currently on the market and own most of them as well so I can go into fairly detailed info for shoes. I'll cover each company in a separate post starting with Nike on this one. The models will also be the current shoe offered as models change throughout the years.
Brands: There are not as many shoe makers as there use to be today all that is left is Nike, Adidas, Saucony and Asics. There are also shoes made by VS Athletics and depending how far you want to go there are Chinese and Japanese companies that sell shoes just over there.
Type: Nike and Adidas have 2-3 different type shoes although the names/model differ they are essentially follow this category. Fast, Medium/Slow, Value/Economy.
Links posted will be to a website with best photos of each shoe.
Nike
Zoom Rotational
Nike Zoom Rotational 6
The Zoom Rotational is Nike's fast or rotational shoe. It's a smooth and flat bottom shoe that is meant for rotational movement but can be used for the glide as well. This is a preferred shoe for hammer throwers as well.
This shoe use to have a much harder bottom thus made it a lot faster but for some reason that has changed.
Zoom SD
Nike Zoom SD 4
The Zoom SD is Nike's medium/slow shoe. The bottom is flat and slightly textured. It's slower than the Rotationals but many rotational throwers like this shoe over the Rotationals.
Personally this shoe is my favorite Nike shoe currently on the market and seems to be with a lot of top level throwers as well.
Zoom Rival SD
Nike Zoom Rival SD 2
This shoe is Nike's value shoe. It's bottom is the exact same as the Zoom SD. The only difference is the upper which is not as quality thus being able to sell the shoe at a cheaper price.
NOTE: Over the years Nike's throwing shoes have gone from being made out of leather, to a synthetic material now to a mesh and flywire design. These shoes can be very uncomfortable depending on your foot. All of my teammates have complained about the current Nike throwing shoes. Also with the mesh build these are likely to develop tears in the upper portion of the shoe.