2001 Hyundai Tiburon

Engine Performance problem
2001 Hyundai Tiburon 4 cyl Two Wheel Drive Manual 75857 miles

I am having issues with my car almost stalling when my RPM range gets between 3000 and 4000 rpms. I feel it most when taking off in 1st gear or driving in 2nd gear. The drop is a violent " almost" stallout. When I pull up to traffic lights, the rpms dip to an almost stall, or the car completely stalls. If I'm driving at highway speeds, I can get it to almost die by stomping on the gas pedal. It's almost like my car is choking to death. I have NO check engine light. I am positive that it works. I have already changed the fuel pump, fuel filter, plugs and wires. What else could possible be wrong? I am desperate for help.

Thank you.
July 6, 2009.

If the pump is new and there is no check engine light, check for vacuum leaks. Also, make sure the catylatic converter isn't plugging.

Let me know what you find.