I've been searching for a similar problem, or any possible ideas I have had of what the problem could be. I looked under MAF, coil packs, faulty turbo although i cant find someone that has more than one of my symptoms:
My car has been having issues for a few months now. Primarily my CEL is on and throwing a code for coolant temperature sensor. Up until recently that was my only problem. My car started to idle kind of funny, and started to randomly stall when comming to a stop. The rpm would either spike down to about 600 and bounce up or stall. I had hoped maybe it was a clogged fuel filter so I changed that did not solve the problem. Today while i was driving when I got to a stop sign I pushed the gas and the car started SPUTTERING horribly as if it was a subaru making the car jerk and almost as if it was backfiring the turbo somehow. Although when i get it past the "sputter stage" (up to 2000 rpm it runs fine). I had a problem with a coil pack a while back, so i thought the cylinder wasnt firing for that rpm range. I went and replaced all the coil packs took it for a ride and nothing changed.
-Random stalling when comming to stop
-Comming off a stop horrible sputtering until 2000 rpm then fine
-No power whatsoever up to 2k rpm can barley get it to move
-changed fuel filter
-changed all coil packs (would have to be done sooner or later anyway)
its an 02 GTI with about 110k miles on it. I appreciate any suggestions in advance, and i never really post so im a new user, althought i use vortex for help all the time. Thank you.