Frasier, Roz and others moan about "losing" the SeaBea award. They didn't "lose" anything; they simply weren't chosen to be given the award.
Frasier makes references to a "French champagne" when there isn't any other kind. Only wine made from the grapes found in the Champagne region of France can be considered "Champagne". Everything else is simply sparkling white wine.
Frasier drinks his champagne without holding the flute by the stem--most out of character for a confirmed wine snob like Frasier.
Bebe's coffee order - a "double-double" - is commonplace in Canada but the phrase is rarely used in the United States.