If you have a Machinery's Handbook" you can look under screw threads and find the wide variety that are actually in the tables.
I do a lot of work on antique cars (Before 1916, NOT used cars like 1965 Mustangs!) When I run across an odd thread, I usually order a tap and a die for whatever work I am doing. If you use one (the tap.) you will eventually need the die)
My 1/2" taps and dies currently range: 11, 12, 13, 18, 20, 24, 32 tpi. Also, I have the L/H taps and dies for most of those.
If you are working on old equipment, you need to be VERY careful to identify the thread you are working with. Use a caliper to determine the actual major diameter, and then a thread gauge to determine the actual thread.
A lot of people say "Oh, there was no thread standard in the old days, so they are all odd!" This is NOT true. The U.S. 60 degree thread was well-established BEFORE the Civil War. Virtually all U.S. manufactured equipment since the Civil War uses the 60 degree thread. It is just the pitch that can be odd. Although some manufacturers picked odd pitches for technical reasons, or to make their equipment less tamper-prone.
The ONLY place I have seen REALLY odd threads is in antique magical equipment. Magician Machinists used nearly all special threads, made with screw plates, instead of dies. Why they did this, I do not know. It may be because they were typically using the same threads as watchmakers. (I found this out from a club member who is renowned for his magical equipment. He also restores antique magical equipment as well, and he has a HUGE collection of screw plates and is always buying more.)
A good example of an odd thread that was commonly used is 1/4-24. This was known as the "Harley ******* Thread". But actually, it was a common standard thread in the early part of the century. If you look at a Harley part number, there are 2 digits that tell you the year the part was first used on a Harley. The oldest part I have found on my 1961 Pan Head is the clutch operating shaft, which shows it was put in production in 1903