Since I've had the car, I've only had some minor problems with it.
For one, there was a bolt of some sort that connects the stick to the actual transmission. When I was driving down the street one day, I went to shift into 2nd gear and the stick was all "floppy". I managed to get it home, where it was picked up the next day by the dealer to be repaired.
I tried to rotate my own tires one day and one of the bolts on the left front tire had been put on incorrectly. I had to pretty much "muscle" this bolt to get it off. I don't think this is an issue with all the Accents however.
Sometimes on left hand turns on an incline, there is kind of a "cracking" noise when the car comes out of the turn and bottoms out. I don't know what this is but I am thinking of getting it looked at very soon.
I took the car to a self service car wash once where they have those high pressured hoses. As I was spraying the back bumper clean, some of the paint (about the size of a quarter) chipped off. I touched it up only to find that the warranty covers paint chips.
I also noticed that the car "dents" easily. I was involved in a hit and run accident and when I tried to take the fender off myself to fix it, I noticed that the front quarter panel is very "flimsy". Regardless, I couldn't get that stupid dent out!!!
I think this car overall is a great buy. Mine is blue and it has a sunroof, spoiler, and mudguards. I paid about $10,500 for the car and I think it was a pretty good deal.
It's got a very "sporty" look to it, even though it's probably one of the least powerful cars out there; 92HP. I figured out my MPG the first time I took a long distance trip and it came out to about 34MPG! That's great. It's not very powerful and sometimes you have to downshift to go up a hill, however I don't think the car was intended to frequent the tracks of the Indy 500!
Overall I'd say it's a great little car. I love mine, I just wish there weren't so many "postmarket imperfections" with it.