This topic seems to come up time and again, so pardon if I repeat myself...
Here's the non-Oriental monk from Fiery Dragon's World of Karathis, the Monastic Dragons. Much like Earth's kung fu masters developed unarmed techniques by observing the world's animals, Karathis' unarmed masters observed the dragons. Included are several non-eastern substitutes for the monk weapons:
http://www.fierydragon.com/DB/DB_OCT27_2004.htm
In an older thread on the subject, titled "Do we really need monks?", I renamed all the monk's abilities and turned it into the Pankrationist. I'm reposting it below:
Pankrationist
Weapon Proficiency: A weapon by any other name... Just change the name and appearance of the monk weapons, and keep them stats. Staff can remain, kama can become griffon's claw, nunchaku can become Hera's Serpents (remember Hera sent two serpents to kill baby Herakles in his cradle), etc...
Armour Class Bonus: Hunter's Awareness (nod to Atalanta)
Flurry of Blows: Hecatoncheire's Hundred Blows.
Unarmed Strike: Remains the same, lots of Greek heroes killed with their bare hands.
Evasion: This can remain the same, as it's easy to visualize light-armored greek warriors dodging blows (pankrationists have to rely on their fleet feet).
Fast Movement: Like Atalanta the Huntress, pankrationists can outrun even the fastest horses in time.
Still Mind: Faith in Self. Pankration is Total Power, so no mind can be weak, specially if one must endure the warrior-training.
Ki Strike: Once again, it's Total Power. This gets renamed Pankration Strike.
Slow Fall: Greece is as mountainous as it gets. It's easy to say that Pankrationists must learn the way of the mountain goat and be as surefooted as the god Pan.
Purity of Body: This is self-explanatory. In a world where magic exists, seeking the perfectness of the human body can have Purity as a side effect.
Wholeness of Body: Same as Purity.
Diamond Body: Same as Purity.
Abundant Step: Hermes' Blessing. For a short moment, the pankrationist reaches the instant travel of Hermes, god of messengers.
Diamond Soul: Same as Purity.
Quivering Palm: Touch of Clothos. The pankrationist begins to understand the workings of Fate, and can work with the twines of life to kill someone from afar.
Timeless Body: Same as Purity. Several Greek heroes were shown to be formidable even in their old age.
Tongue of Sun and Moon: Tongue of the Children of Gaea. All beings are descended from Gaea, and the pankrationist can link to this primal connection.
Empty Body: Olympian Step. So perfect is the pankrationist's body that it begins to border the divine, including stepping into the realm of the gods.
Perfect Self: Olympian Self. The pankrationist finally reaches Total Power, and his mortal form becomes so perfect that it transcends humanity and becomes divine.