Over revs bewteen 2 and 3 RPM's when in neutral

SOURCE: When my car is in Drive it just revs and doesnt move...

Get your transmission position sensor checked. With it being an automatic it doesnt have a clutch

SOURCE: Will not rev over 2000 rpm 2003 hyundai santa fe 2.4 eng

get someone to rev the car and see if the exhaust note sounds muffled!!! i.e blocked or bent if it sounds normal chech fuel pressure and more importantly fuel flow the guy with air flow meter was proberbly right
regards ray w QLD OZ

SOURCE: Engine revs up to 3000-4000 rpm all by itself

THERE IS A TEMPERATURE SENSOR ON MOTOR WHICH CAUSES THIS PROBLEM... USUALLY IT SHOWS A NEGATIVE TEMP READING WHICH CONFUSES THE COMPUTER CAUSING IT TO REV UP....HAVE THE ENGINE DIAGNOSED ON A SCANNER....GOOD LUCK...

SOURCE: engine revs but car doesn't accelerate

Since you did not say what type of transmission you have i will suspect the clutch is slipping if it's a manual.
If it's an automatic, it could be several things. Low fluid level...clogged filter, fluid needs to be changed..transmission serviced...weak pump, bands/clutch packs worn...etc
Good luck..i hope this helps, please rate me a fixya.

SOURCE: engine high rev at stop and slowly goes to idle speed.

I've got Hyundai Lantra 1.6 year 2000. It's take time to start when it's hot. When I start my car it revs at about 2k-3k rpm. It also does it when I come to a stop. When I come to a stop it will stay at a higher rpm than that of idle speed. It drives ok when on freeway but uses more petrol. I have changed the water & petrol pump but no luck