According to Colin R. Bruce III's Unusual World Coins, a "Confederate Centennial Half Dollar" coin was issued in 1961 by the Coin-of-the-Month Club in Sioux Falls, SD. These were struck in a variety of metals: bronze, copper-nickel-zinc alloy, "golden bronze," gilt bronze, oxidized coper-nickel-zinc alloy, and .925 (sterling) silver. The coin had the same obverse as the one posted by KAJ, and the same Confederate States of America reverse that I posted.
I believe that the Georgia Mint, a private firm which produces souvenir replica & fantasy Confederate coins in a variety of denominations, may have issued a similar half dollar as well.