Nothing.
Have had the car for about a month. So far nothing has gone wrong. I drive about an hour to work and have been averaging 35 miles per gallon, with it reaching 40 miles a gallon on the highway.
The inside is comfortable enough for a long drive, the stereo system is pretty good for a base model and the air conditioning is very cold.
I have three young daughters (six years, 3 years, and 7 months) and they all fit in the back alright, surprisingly.
So far I am very pleased with the car overall.
I am the original poster. I have had the vehicle for over two years now. The car has 55,000 miles and is still running great.
I have not had any issues besides the key getting stuck in the ignition. The dealer replaced the shifter about a year ago and since then have not had any problems.
I am still averaging around 35 mpg. I guess I am one of the lucking ones, based on a lot of the comments regarding the Cobalt.