Here's a rundown; each number is a list of names for identical cartridges. Note that these are auto pistol rounds that are called 9mm; several rounds of similar diameter and bullet weights are called .38 or .357:
1. 9mm Browning Short = .380 ACP, 9x17, 9mm Short, 9mm Corto, 9mm Kurz
2. 9mm Browning Long = 9x20, 9mm Swedish 1908, 9mm FN
3. 9mm Luger = 9x19, 9mm Parabellum, 9mm Modell 1908
4. 9mm Makarov = 9x18, 9mm Russian
5. 9mm Ultra = 9x18, 9mm Police, 9mm Polizei, 9mm Walther Super
6. 9mm Glisenti (dimensionally same as 9mm Luger but not as powerful)
7. 9mm Largo = 9x23, 9mm Spanish, 9mm Bergman-Bayard
8. 9mm Steyr = 9x23 Steyr, 9mm Steyr M1911, 9mm Steyr-Hahn
9. 9mm Winchester = 9x23 Winchester (only custom guns made)
10. 9mm Winchester Magnum (only custom guns made)
11. 9mm Mauser = 9x25, 9mm Neuhausen SMG, 9mm Mauser Export
There are some other 9mm auto pistol cartridges but they are so rare that they are unlikely to be encountered.
When the term "9 millimeter" is used by itself today in the U.S., the cartridge meant is almost always #3, the 9mm Luger, which is the SAAMI standard name for the cartridge in this country.
None of the above cartridges shown as identical are truly interchangeable with those of other lists. While 9mm Largo is
almost the same as 9mm Steyr, and some writers say they are the same, that is not true.
Go to
http://en.wikipedia.org/wiki/9_mm_caliber for more info and cartridge dimensions.
Jim