Not wanting to be the proverbial cry wolf, but bet. the two, Civic's is a safer bet of the two. Just read about the defects slowly creeping out in the elantra thread. There's no need to mention of HARI's inaction with the knocking issues of the Accent. Looks like HARI is digging its own grave.
Elantra is better looking/designed and has the better transmission but whether all this translates into the same kind of long term reliability of Civic, Corollas, etc of old is another matter.