When I bought my 2003 SXT, I put a huge subwoofer in and clear tail lights. Thing handled AWESOME after that.
Seriously, I was really surprised when I read that you didn't feel like the Neon handled as well as the Grand Prix. Although I've never driven a stock Neon for a long period of time, I'd expect it to handle far better than a huge boat like a Grand Prix.
Mine? Dropped 1.5" with BF Goodrich g-Sport 195/55R15 tires on stock wheels. Even with just that done, it really does handle quite well. I would like to see what sways would do, but my money is presently channeled elsewhere (see signature). Maybe next year.
Just for the hell of it, I was joking in the first line. I have a stock stereo and stock tails and they will always remain that way

.
Jon J.
2003 Neon SXT - new home, new owner. Thanks for everything, old friend.
1989 Daytona ES - 2.4L/A555 swapped
Official "I'm Going To Drive My Neon Until Jerry Buys It" Club Member #11