My uncle buys used cars off of Ebay for his kids. He drives one that he got for like $1000 off of there after 5 years! This was a $2000 car though, but it was also newish for its time (bought in '08 I think and the car was a '00 or something). Just regular maintenance and still ran after a big thunderstorm.
There's also Craig's List. There are good deals on there, and some really bad ones. You can usually find some really nice "riced" Civics out there that still run and do all the things that the car was meant to do for between $800 and $1600. These ricers also come with free side skirts! Most people won't like that you got a ricer, but to be honest, just replace the exhaust and take out the CAI, and you will have a fairly stock looking car. These Civics shouldn't give you much headache, since they have been taken care of by someone who loved the car.
Honestly, if you go with a Honda Civic, you won't have any headache, except maybe at the beginning of your ownership when you have to replace the exhaust and CAI.
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