Rough idle when stopped

Whenever the car is stopped after warming all the way up, the idling becomes very rough. Idling jumps between 700 rpm's and 1000 rpm's, causes vibration and a jerk. Happens in all gears, but "neutral" and "park" have less of a jerk, rpm's still jump. Take off seems very delayed too, while main driving still have the same power and feel. I replaced the Idle control valve, spark plugs, air filter, PCV valve and there is no check engine light. The airbag light did come on, around the same time, but do not think it is connected. Any help is welcomed.