The first group will be Type I, these are the "most standard" Mausers. I am going to group different actions by length, ring diameter, and barrel shank diameter.
You might check this link for more mauser facts. This is my Small ring, small thread 1909 Peruvian 98 Mauser. There were in fact several very effective semi-auto battle rifles available during WW1 but few were ever issued due to the problems of mud in the trenches, difficulty of mass production, and generally poor quality of ammunition during most of that war. Mauser did market a very advanced autoloader that was used by the German air core during the early days of WW1, alongside the slightly better known Mendoza autoloaders that had been manufactured in Switzerland for the Mexican government and diverted to Germany. I'd read that it was Paul Mauser's brother that lost an eye. I think the 1910 was an adaptation of a sporting rifle action meant for cartridges similar to the 300 Savage. I believe both have a short action, the 1910 may have used the shortest action of the type, but I'm not that sure. The later 1936 model shared many cosmetic features of the 1903 Springfield, and is another action popular from custom lightweight rifles. Is the 1931 marked Mexican Mauser a 1910 model? Note the step in the side wall at the red arrows in the attachment below. The latter actions are often rebarreled using 1896 6.5X55 barrels to make very strong custom sporters. There were actions with intermediate sized rings like the G33/40, and a couple of odd balls like the Eastern european copy of the 98A that coupled a small ring with the large ring sized barrel shank, resulting in a dangerously thin receiver wall, and the Turk Mauser clones with a small ring size barrel shank and a thick walled large ring receiver. There were several post 98 small ring actions, such as the 98A artillery carbine of WW1 and the 1910 Mexican Mauser which aside from some 98 type features of the bolt was more like the 1895 rifle in other respects. The large rings merit of extra strength was held over when the 98 action was designed. The large ring was to provide a sturdier basis for its interupted thread takedown barrel. The first of the large ring Mausers was actually a limited production takedown sporting rifle that came out in 1896, it shared many features with the later 1898 military action, but used a threaded firing pin and cocking piece rather than the more familar easy to remove type.