Cutting out on tickover,or at any point when your not pressing the gas pedal, clean icv. Silver alloy mustard pot pas side of plenum on v6. Wash out thorougly with carb cleaner then lube with light oil. Make sure the rubber seals to plenum when you put it back on or youll get an air leak. Used electrical tape on mine to keep the seal(by that i mean, wrapped around the ribbed ally "elbow"bit on the icv to increase the diameter and make a better seal, not to much or it wont go in.) 10 minute job all in.
Cutting out when pressing the gas pedal,(not rough running, i mean dead engine rolling to a stop) crank sensor, also if cranking on the key and not starting. May well then start 10 minutes later. Change sensor.
Rough running,poor tick over, bad vibration, usually lack of spark or, rarelly, fuel. Spark mostly, caused by damage to ignition system. Usually oil in plug wells cooking the ht leads or coil packs on drive by wire cars. Oil in plug wells is caused by blocked breathers, as mentioned, this blows the cam cover seal filling the plug wells with oil, and as said this will eventually cook the plugs and leads and possibly over loading the dis pac. Hth