I won't get into Euro or Asian couplers. I'm discussing North American styles only.
There are five main styles. These four, plus ARO. I thought I had re-posed these photos to include ARO, but apparently not. These are all 1/4" bodies. There are other styles for 3/8 and larger bodies.
Milton "V" is a high-flow coupler, it may be the same as a Euro high-flow, but I haven't confirmed that. Note the larger internal diameter.
The Milton "M" is the same as
"Industrial Interchange", probably the most-popular style in the USA. Compression testers, leakdown testers and other factory-made tools use the Industrial Interchange system. It's also a US Military standard. You go into some poorly-stocked hardware store, they're going to sell only the "M" style, probably as a crappy Chinese import.
The Milton "T" is a Tru-Flate style, also called "Automotive Interchange". Shortest pilot in the industry.
The Milton "L" is the Lincoln style. Longest pilot in the industry.
Not shown: Milton "A", the ARO style.
The quick-disconnect bodies can be had as "universal", by which I mean they'll accept three of the five styles. I had a "universal" body for a while, but it leaked perpetually with my "T" coupler plugs--the ones with the short pilot. I think they sealed just fine with "M" plugs, and they also fit "A", but I didn't have any of those. So the "Universal" coupler bodies fit "A-T-M" style plugs.
A coupler body that fits Milton "V" will also fit "M" (and "A"???) plugs, but with reduced flow. However, a coupler body for "M" will not fit "V".
I recently converted to Milton V couplers in my shop. IF (big IF) I was willing to stay with Industrial Interchange, my shop would be set up with TST/Oetiker B1 swing couplers. Zero insertion force (except for seal friction) and self-venting when disconnecting. They're somewhat scarce although Amazon has some styles. The B1 is compatible with Industrial Interchange. TST/Oetiker makes other styles also, so be careful.
https://www.amazon.com/dp/B000L9V74S/?tag=atomicindus08-20