TKROM is the closest NES board. Unless you can get one of the games you listed (better yet, a real FF3 cart) and an FC-to-NES adapter.

TKROM has a little problem, tho. You need to replace the CHR-ROM with a RAM chip, which would be easy enough if Nintendo hadn't removed all unused pins, including the CHR /WR one. You need to add your own pin.

Instructions are available:
http://nesdev.parodius.com/NES%20EPROM%20Conversions.txt