I recently bought my Neon in January of this year. Already everything is going wrong with it. My water pump was replaced in February. My head gasket needs to be replaced within the next 2 months and my fuel pump broke last month. I understand it's a 10 year old car, but my last car was an 89 and NOTHING went wrong with it while I had it.
There's really nothing to it to have a favorite except the changes that I personally made to it.
Head gaskets and water pumps definitely need improved on all Neons. 4 of my friends had to replace both.