There have been quite a few, mostly from the military-industrial complex.
Start with the MIL-STD-480, MIL-STD-483, MIL-STD-490 trio. (They are long since obsolete.)
MIL-STD-1679 is a Navy standard. It makes one key point, in the form of a required section in one document. EVERY system developed to MIL-STD-1679 practices is REQUIRED to talk about how the system interacts with the All-Weather Carrier Landing System. This requirement cannot be tailored out; it MUST be addressed. If the system does not in any way interact with the All-Weather Carrier Landing System, the document must say that, in black and white. The point that the Navy makes is that the All-Weather Carrier Landing System is IMPORTANT, and ANYTHING that dicks with it in any way needs very serious scrutiny. (Airplanes are expensive, and have long lead times to replace. The same applies to their pilots.)
DOD-STD-2167 and DOD-STD-2167A were quite comprehensive. You should still be able to find them on the Web, although the standards have been withdrawn.
MIL-STD-498 was an attempt to update DOD-STD-2167A. Unfortunately, it came out right around the time the DoD went on a COTS (Commercial Off-The-Shelf) kick, and was withdrawn and the IEEE standards (most notably the 830 and 12207 standards) substituted. DOD-STD-2167A was still in use at the time, and was also withdrawn, for the same reason.
There's also the IEEE 12207 series, but they, unlike the military and DoD standards, are not free, not even close.