My 04 3.0 (auto) is missing or jumping during mild acceleration while cursing. It sometimes misses or jumps when pulling off. The check engine light intermittently comes on. I had autozone read the codes which indicated various misfires. I've replaced the plugs and wires with the correct OEM parts. This helped a little, but still jumping. Any thoughts or recommendations? I don't want to quest-replace a bunch of parts if i don't need to.

Any advise is appreciated.

 

I would put a can of seafoam in the gas tank, I do this once a year to clean up the injectors.
Could be dirty injectors are leaning the mix a bit on acceleration.

You can get $30 bluetooth OBD II readers for a smartphone, then you can check on fuel trims and various sensor voltage/levels while you are driving.
Google: OBD II bluetooth

 

can you post a link for the obd II reader for smartphone

 

Google: OBD II bluetooth

Check price of app for phone, some are free others cost $

 

Coil pack possibly?

 

Update: I replaced the coil pack and the problem was fixed. I followed the guidance found in the following link to isolate the problem. I hope this helps others.
Part 1 -How to Test the Coil Pack (Ford 3.0L, 3.8L, 4.0L, 4.2L).