Car will not accelerate from a stop once it gets going it is fine. In other word it falls on its face when I try to take off from a stop.

Check fuel pressure

have a look at the clutch!

All the above problems were happening to my truck, and the engine light never did come on. Finally changed the O2 sensor, and it runs like new again.

have the fuel psi checked and or the tps
if you have an auto zone parts house they could help on checking these

Along with the vacuume leaks I would check the carb. The accelerator pump might be out of adjustment or something else in the carb. Currently I have the same problem with mine and I just adjusted it and for 1 day so far it's ran fine but I have a holley on mine. Carb may be dirty also.

Lets go back to the fuel pump. I am working on one now that has the same symptoms.It turns out it is the fuel pump. Still pumping fuel, just not enough pressure. Hard start, idles fine give it some fuel and dies. One other thing that I can think of that will do this is clogged catalytic converters.

it could be a poor fuel pump not suppling enough fuel to the injectors when required,a fuel pressure test and flow test should be done.it also could be a cat as when your accelerating you are trying to push out as much exhaust gas as possible and if the cat is plugged it causes back pressure to the point the exhaust stops flowing causing the car to fall on its face.then when you back off there isn`t as much exhaust gas to push out the exhaust system and it runs better.you can get an exhaust back pressure test done to see if this is a problem.

sounds like you may hae an o2 sensor going bad. are there any check engine lights on?

That's often the sign of a clogged fuel filter. Running on level ground or not trying to accelerate hard, enough fuel can get through for the engine to make the power you need. But when you try to punch it to accelerate quickly, or you try to go up a hill (basically anytime max power is needed), the car can't flow enough fuel to the engine to make that power, and the car seems to fall on its face. Change your fuel filter out and see if that helps.

When you open the hood of the the car have a buddy accelerate in park and listen for a vacuum leak this is the likely cause it sounds lik your loosing boos pressure. Also, get a tune up there maybe a list of problems. Hopefully it's not your transmission!