I have a Chev Cavalier, also 1995, doing the exact same problem.
Bucking/hesitating at moderate throttle that goes away if I stomp on
it. No stumble during idle.
I was thinking it has something to do with the EGR because if I plug
up the vacuum going to the EGR the symptoms go away. Also if I
disable any piece of the EGR system (for example the MAP or O2 sensor)
symptoms go away. My theory is that something is giving the computer
bad information and the computer is opening the EGR at the wrong time,
imitating a giant vacuum leak. The car starts bucking as soon as I
leave the driveway, but the EGR isn't supposed to open until you hit
I replaced plugs, wires, fuel filter, MAP sensor, EGR valve, TPS, IAM,
coolant sensor,crankshaft sensor...just about everything in the EGR
system. I can do this because I have a 96 Cavalier in the next stall
and I can grab parts from it for free. Problem is I'm starting to
suspect the PCM because in addition to something in the EGR system
going haywire I also can not get a scan. Took it to both Autozone and
Adavanced Auto and at both places the scanner said can't make a
connection or can't link. Check out the PCM and visually it looks
okay, meaning the wires weren't all coroded. Was hoping that I would
find a bad wire or green ground. No such luck.
If you find out what's wrong with you car, post it because I may have
the same problem.