Neither is FFIII's and FFT's monk class.
Actually, all the people listed saved for FFI's monk use weapons. Guy isn't technically a monk, since you can have him use any weapon you want.
Yang, Sabin, and Amarant use claws, while Zell and Tifa use gloves (which are considered a weapon because normal gloves wouldn't boost your attack power, and besides, they're found in weapon shops.)
My vote goes to FFV's monk class.