When my 2002 Pontiac sunfire is stopped at a stop light the ideal is really low and my car wants to bog out I have to keep my foot on the gas peddle to keep it from dieting out

Question edited for clarity, add maker.
Question moved to model category.

When you replaced the fuel pump, did you disconnect the battery? If you did, did you reset the security system and engine immobilizer?

You need to check engine codes to determine which circuit is giving you the problem. Have a visual inspection under the hood to make sure no hoses etc are disconnected

Possible causes
- Faulty front heated oxygen sensor
- Ignition misfiring
- Faulty fuel injectors
- Exhaust gas leaks
- Incorrect fuel pressure
- Faulty Mass Air Flow (MAF) sensor
My bet would be dirty fuel injectors, Try putting fuel injector cleaner in your tank next time you fill up.

Change O2 Sensor number 2 which is down stream after the cat. Low voltage during power enrichment sensor 2

Have you changed the timing belt? or timing belt guides? How many miles? This does not necessarily have to do with fuel.... Could have to do with air intake or timing as well....

Idle Contol Solenoid,at base of throttle body

Worn Spark Plugs and Dist Cap,will give you part of that

Sounds like a dead short on a low amp cicuit. If it doesn't buck when you don't use the turn signals. Then it is a short. this could interfere with the electric gas pump. If the two problems are unrelated, confirm firing order of the spark plugs and check s/p leads.

insp your idle air controler unplug when acting up at stop see if it makes any diffrencs. iac

good possibility or maybe fuel pump has low pressure or needs a new 1.

as far as the bogging and dieing,it sounds like the tps.a simple trottle body service would fix that.for your new problem you need to some test before pointing to a salution.start the car and cover your tail pipe.as pressure builds it push you hand off.a clogged cat will put to much back pressure on the engine.i would un plug the mass air flow sensor and try running the car.this will turn on the check engine light.check your air filtter and plugs.also check your wires.a nother test is a coil strees test.(you have to go to a shop for this)if the car runs ok with no load but spitts and sputters in drive you may have a openning coil.checking with a meter only works if it does not run.last but not least while you at the shop,have them check your timing.a faulty cam sencer will bog the car down with bad timing advancement but not throw a code.
hope this helps,remember to keep it simple,expensive elec. parts are not always the problem