The Corolla and Neon are about the same weight. The difference is less than 50lb for curb weight. But the VVTi probably helps out a bit with low end torque and acceleration of the Corolla. That and the gear ratio and final drive ratios are probably different.
The drag coefficients might have a little something to do with it also. The Neon is 0.34 and the Corolla is 0.296. Strangely, the Neon SRT4 is 0.35. Though this is still better than the Chevy Cavalier at 0.38
The head light reflectors are designed to be different shape and output a different light pattern. If you're Neon used 9004 headlight bulbs, that explains a lot also. 9004 bulbs suck! They're about as good as sealed beams.