Final Fantasy VI, one of the most beloved SNES games and the namesake for this very website, will hit the Japanese PlayStation Network on April 20th. This will be (perhaps obviously) the Playstation version of FF VI, which was released in the United States as part of Final Fantasy Anthology along with Final Fantasy V. There is no concrete information about a North American or European release on PSN available at this time.
When will this come to North America's PSN? Probably sometime after Final Fantasy V makes it; FFV was announced to be in the North American PSN pipeline one week ago. Before too long PS3 and PSP owners worldwide will be able to enjoy these two classics disc-free.
Source:
KotakuKotaku again (FF V news)