I must have close to a dozen sets of taps and dies for multiple English, North American and metric threads. Most common North American seem to be Unified National Coarse and Unified National Fine (UNC, UNF) Then get the "extra fine" - UNEF. Then can get "Special". Had read that some machines - like sewing machines - had unique one-of-a-kind in-house threads for a particular screw - only one place to get it from - the original maker. And can end up with a metric or Enfield or Whitworth or BA thread, or tapered threads like NPT - National Pipe Thread - some are similar to others. Each thread series comes with a range of threads-per-inch or distance of one thread peak to the next. Almost all thread series have definition for the angle of the cutter that cut the thread - for sure not all the same!! Same with shape at bottom of the valley between peaks or the "crest" of a peak - is all defined and precise, but seems everyone and his brother had idea for "better" design at one time or another!!! I have several older rifles with square profile threads within the receiver and on barrel tenon. My old Atlas lathe has "ACME" threads on various pieces.
A bit like twist drill bit "sets" - go to Canadian Tire and get a "set" up to to 1/2" by 64'ths - think you have them all. Nope - is also letter sizes, number sizes, and metric sizes, too boot. Maybe more that I have not run into, yet.