Stalls at idle?

Yes engine light is on

I tried to take it to advanced auto, now it wont even go into gear

So I've been having trouble with my car and I really hope you can help me figure it out.
While I'm driving and shift gears mainly when I'm slowing down my car just shuts off completely. Only when I'm rolling, in neutral or have the clutch pushed all the way in. This has been going on for a while. I replaced the distributor, alternator, rack and pinion, I check my fluids to make sure they are good, yet I still can't figure out why my car turns off like this. It doesn't jerk in anyway when it turns off it just turns off quietly and steadily. Please help, I have a baby on the way and want to get this fixed.

Awesome that you replied. Yah me and my dad are thinking a vacuum leak. How do I add a video? Reminder the engine light is not on and it's not throwing up any codes what so ever.

Did it work?

We changed out the fuel filter.

It did work. I does still turn off like once a day though. We changed the fuel filter and cleaned out the throttle body.

The engine does not have low power and they had the tighten up the idling. We did replace the idle air control valve a while back too.

The engine does not have low power and they had the tighten up the idling. We did replace the idle air control valve a while back too. What about a old PCV valve?

We located the PCV valve behind the oil filter. We couldn't get to it through the top so we went through the bottom and that's how we got to it.

Electrical problem
1997 Honda Civic 4 cyl Automatic 160000 miles

Car intermittently stalls at idle. Battery light comes on. The battery is new and mechanics replaced the alternator last week to try to resolve the problem. But the car stalled again this morning. The car does not run rough prior to stalling and the idle is smooth. Stalling only happens while driving at very low speeds, or when preparing to accelerate from a stop. Has happened about a dozen times over the past month and at various times of the day/night. Mechanics cannot find anything wrong with the electrical system (they've checked everything twice). They've driven the car for long periods of time to try to make it stall, but (of course) it doesn't stall on them. The engine light does NOT come on, just the battery light. The car could usually be restarted immediately after stalling out, but this a.M, it took three attempts before I could get the car to run again.

Help, please.