The problem with these kinds of threads are that every car maker will have it's horror stories and equally people who have never had a problem at all. So saying buy French (bahahha, sorry) or saying buy Toyota or Nissan (GTI first car, again, bahahahha) or Ford cause I've never had a problem, really doesn't mean much.
You need a cheap car so search for you price range, not a particular make or model, see what you can get then check out the website clubs that are around for that car and look for the common problems.
When I was looking for my first car, I searched for the money I could spend (about £500) then settled on a few makes/models I liked and went to see loads of them.
Just do the basic checks: HPI, check oil, water, tyre wear, check for leaks, if the engine bay has been cleaned it could be to hide something so double check things like that. Listen for knocking or tapping noises on a test drive, try and do some full lock turns and listen for noises (drive shafts) see if it tracks in a straight line, not pulling to one side. Check the height or the brakes, hand brake lever and clutch pedals for signs of wear/life left. Try and get long tax and MOT's cause that's an expense to try and avoid just in case it goes tits up.
There are more so if anyone has them....