dtgreene: Reminds me of Final Fantasy 1's Monk class, whose attack power without a weapon, particularly at high levels, is far higher than any other attack. One of my favorite things to do, in the PlayStation version, is to play on Easy mode (which raises the level cap) and put a Monk in the party....
TwoHandedSword: That sounds like a lot of fun. Almost makes me wish I had a Playstation (or any other console) to try it out.
Note that you can't get that much damage in other versions.
On NES, the level cap is only 50, and the Giant's Glove and TMPR spell don't work, limiting your damage output. (I think you can still break 2,000 damage, and the final boss only has 2,000 HP on NES, however.) The PSX version on Normal mode has the same level cap of 50; the Giant's Glove and Steel (what TMPR is called in this version) actually do work, but critical hits get less of a damage bonus I believe. I believe the WSC version is like the PSX version but without the option of Easy mode.
On the MSX version, Monks are broken; they don't fight better unarmed than other classes, which makes the class completely useless. (Then again, this version was never released outside of Japan.)
On GBA and later, the Monk damage formula has changed. The new formula, which uses Stamina instead of using the character's level, results in a Monk that's stronger unarmed at low levels (to the point where nunchucks are pointhess in these versions), but the maximum damage you can deal is not quite as high (the 2 most powerful bosses the GBA version added can survive it, for example); it's still enough to potentially kill the final boss, who has 20,000 HP now, in one hit with some preparation. Interestingly enough, on GBA if you manage to deal over 32,767 damage, the damage display will be glitched.
(Speaking of damage glitches, apparently in Final Fantasy 7 it is possible to deal negative damage if you use Barrett's or Vincent's ultimate weapon and power it up enough; due to the way the game handles it, it is possible to kill Emerald Weapon (but not Ruby Weapon) in one hit despite the 9999 damage cap.)