What is causing my car to stall?

What is your question?

My car will stall or have a 'delayed reaction' when I come to a stop or slow down from a higher speed and then try to gently accelerate again. It will 'jult' forward after the delay like there might be something wrong with the transmission. Car is at 72,000 miles, I drive it about 40 miles a day in stop and go traffic. Oil was changed about two months ago, and it looks fine.