Actually, I understand the Dillinger gang commissioned a few
1911-based "machine pistols." Foregrip or no, I can't imagine them being particularly controllable, but it's certainly a lot of concealable firepower.
The Beretta 92 full-auto variant is actually called the Beretta 93R (Raffica). It is limited to 3-round bursts at 2200 RPM, and can be fitted with a skeletonized stock. It has an extended 20-round magazine that is backwards-compatible with the 92.
Česká Zbrojovka produced a full-auto version of the CZ75. On the dustcover is a bracket that allows a second magazine to be used as a foregrip.
The Soviets designed the
APS Stetchkin machine pistol in the mid 1950s. Internally, it is essentially a scaled-up Walther PP, which makes it a cousin of the Makarov pistol; it also fires the same ammo. It was issued with a shoulder stock/holster assembly, in a similar fashion to the Mauser Military C96 or early Browning HPs. It's passably controllable at 600 RPM with the stock, but full-auto is a strictly emergency procedure without. A version called the APB is threaded for a silencer and is issued with a wire stock; due to the extra muzzle weight these are actually more controllable than the stock version, and rather prized. Stetchkins were apparently a hot commodity during the Afghanistan war - a much better sidearm than the Makarov, and apparently quite effective as a close-quarters weapon. Modern Russian cops have been known to seek them out, not for the select-fire feature so much as the large magazine and extended barrel and sight radius. John Travolta used one towards the end of "Face/Off."
On the subject of the C96, a full-auto version called the
M712 "Schnellfeuer" was produced, and had limited success with certain German spec-ops groups during WWII. It replaces the fixed 10-round magazine with a 20-round removable one.
During the late 1960s, Colt built prototypes of the SCAMP (Small Caliber Machine Pistol, I believe) in a proprietary high-velocity .22 chambering. It was designed to be the same size and weight as the 1911, but improve hit probability with average soldiers. It fired a 3-round burst at 2000+ RPM. One might call it the progenitor of the PDW concept, and it mirrors the FN P90 and HK MP7 design philosophy.
Then, depending on where your cut-off is, there's the HK
MP7, the Brugger & Thomet
MP9 (known in a previous life as the Steyr TMP), the HK
MP5K, and the various flavors of Ingram MAC10 and MAC11, particularly the latter. There's also the
Skorpion vz.61, which, while not pistol sized, is smaller than just about any other subgun.
Naturally, a pistol firing full-auto is very hard to control, and takes lots of training to master (though the SCAMP was designed for the opposite effect). They seem to be strictly SpecOps/Dignitary Protection material - those seeking the greatest firepower-to-weight ratio. Sure are cool, though.