2003 DODGE NEON IDLES OK BUT RUNS ROUGH WHEN PUT IN GEAR, PLUGS ARE BLACK AND FUEL PRESSURE IS 60 #.

I have a 2003 Neon SXT. It does not have a distributor cap. Sparkplug wires are to be change at about 45,000 miles as they build up current resistance with use.

As Guru stated change your air filter. It may be so dirty that not enough air is getting in for complete combustion. Hope you can solve your problem.

There are several things you can do to help this on your own, but there are also other possible issues here. The first thing you have to do is decide weather or not the problem is something that can be repaired for under the cost of replacement. In other words, for all the advice I will give you (all of which will help a car to be at its peak performance, there is a possibility with out first hand diagnosis, the problem could be something like your Transmission needing replacement, etc. Being that this is a 2003 it is likely that it is not your transmission.
1. Change the spark plugs - the spark plugs should be changed every 60,000 miles as well as the actual spark plug cables. This is something that is the hub of your combustion system and it is important that they are running clean and clear for sparks to arch across. Black ones will work but maybe having a problem with the amount of build up on them. Also, check your oil level to make sure that it isn't too high.
2. Make sure you are changing the oil regularly.
2a. Change your air filter.
2b. Change your fuel filter.
3. Put in a gas additive to help clean the valves.
3a. Check for a distributor cap. - I am quit sure that this model doesn' have one and it is all done electronically now, however if it does have one, then replace that too.
All of this can be done fairly inexpensively and help your car to run nicely and live a long happy life.
Most of the above will help you.
4. If you are still running ruough, do a transmission fluid Flush, probably would help to.
(also for future reference, it is your oil pressure that is important, not your fuel pressure, which is never measured for performance.

Do u have any trouble codes?