My biggest issue with a used Hyundai is the inevitable timing belt service that would need to be done and the cost of parts.
My brother had an '02 Elantra that I maintained, and the cost of parts was extremely high. He only kept it up until 100k miles and it was a decent car, a few strange issues but nothing too severe (a couple sensors, water leak from the windshield, cracked exhaust manifold).
My father has an '07 Tucson that has been better, needing only an A/C compressor.