I don't know if anyone's posted this one yet, but this is the coin with the oddest denominations I own: (Image from ucoin.net): I also own coins of 1/52, 1/26, and 1/13th of a shilling, and recently acquired a 1/4 farthing:
British West Indies, 1/8 dollar, 1822 The only indication of the denomination seems to be the Roman numeral VIII twice on the obverse.
2/3 Thaler Saxony 1767. I thought I had posted this earlier, but it doesn't seem to be so. It has a flat spot on the top where it may have been mounted to a piece of jewelry at one point.
Much better shape than my St. Helena halfpenny token! Here's a more legible one. Text: PAYABLE AT ST. HELENA BY SOLOMON DICKSON AND TAYLOR ONE HALF PENNY S D T