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.