1992 cutlas supreme starts and stalls when cold

no year car told. wow. "I'm having No start fuel problem" why does the first line contradict others?
NO CRANK
cranks good but will not start
cranks good but starts and stalls.
cranks and runs but RPM races to high(too high RPM not told)
normal cold is about 1500 RPM but at -39F RPM will go higher that is how EFI works here. even 2500 is possible say in Alaska.USA.
-80f there. possible (record temp low)
fuel hates to vaporize cold and the colder it is the worse that is
and the PCM knows all that for over 43 years of EFI tech.
is this your first car
or first car cold outside
or first ever Klondyke cold snap?

run fault codes to find the sensor putting on the engine light.

Check oil first, Low oil sensor will shut down if more than a quart low. Change fuel filter, could be fuel starvation, change the air filter. stopped up air filter will put MAF sensor out of range. PERFORM OBDII SCAN SOON.

If your vehicle is fuel injected I would say you have a blown fuel regulator. This would cause excess fuel into the cylinders (flooding) causing a miss and coughing and also blow fuel into the air breather. If will also cause the vehicle to run poorly and could cause the vehicle to stall. Also to much fuel on startup can flood the cylinders and cause the vehicle to no start.

on a cold start car will idle fast till it warms up then will drop to about 1000 rpm, try increacing idle speed so when it warms and drops it should stay idleing

Most of the time when it starts for 1-5 seconds then dies, its a failing of the antitheft system. Read about it thru this link. Some possible solutions too. http://vatspasslockpasskeysecurityhelp.yolasite.com/

possible fuel filter. but if it dies when you come to a stop could also be egr valve, maybe

Sounds like you have a bad starter motor, and now possibly some bad wiring in your steering column.

This sounds normal to me! The engine will read that rpm when accerlerating lightly. It is the stall of the torque convertor. The oil pressure will always be higher when the rpm's are higher, or when the oil is thicker - cold.

Virbration? That is a different story. Oil won't cause that.

probably is a emissions sensor problem, lots of these parts are plastic. check out the throttle cables, lub em wd40. there is a type of valve somewhere on top of engine, it may be cracked, pcv valve stuck. lots of possibilities, almost too much for solution online. something emmissions with an electronic sensor is acting up.