 There are still significant issues with the (to be fair most regardless of manufacturer) GDI engine.  Jerky acceleration appears somewhat randomly, and city driving in this car is a burden.  Handling is not very good.  The entertainment system interface in the car is not very well thought out and the display screen is overly bright at night, creating a distraction.  After a full month and 1700 miles, I am realizing how cheaply this car is made.  After owning Hondas (92 civic, 83 accord--over 200k miles) and an 04 Toyota Celica (190k miles) I can say that Hyundai, at least with the Veloster, is not in the same league yet.UPDATE:  Now at 17000 miles, my opinion of the Veloster and of Hyundai has not changed.  Worst service department blunder so far:  A mouse caused some damage to the windshield washer fluid line and sparkplug wires.  After almost a week of having it (waiting on a part for the washer line), the car was returned with a report that all work had been completed and things like "Extra wire protection" had been added.  The report said "The entire vehicle is operating as intended".  Cost: $918The truth was they did not repair the line, the part arrived (I was notified by the service department's auto-notify) the next day after getting my vehicle.  I notified the service manager who asked if they could have my car for another day to see what the issue was.  I declined and said it could wait until my next oil change.Inspecting the wire repair I found they had merely twisted the wires back together and taped them up with a lot of electrical tape.  I guess that was the extra protection.  The entire repair job was no where near worth the money I paid and the time I waited.There is no way I would recommend this vehicle or any that Hyundai manufactures.UPDATE:  Now at 25000 miles, and I've been told my required maintenance includes a valve cleaning.  The satisfaction of ownership continues to decline.  The rear hatch button is broken.  One of the rear wheels is beginning to make a roaring noise that is increasing in volume (not the tire as it remains in the back regardless of tire rotation.  The radio has reset itself twice (date to the default) and has refused to turn on a couple of times.  At this point I am just trying to keep the mileage low as possible so I can trade it in as soon as it is paid off.  Worse car I have ever owned and it is still fairly new.