A club made for a person whom the creators feel sorry for.
By classing it as 'appreciation' rather than lust the homoerotic nature of the club is ignore and thus is seen normal.
The 'appreciated' member is usually the only one that carries on the club after a while to keep up the appearance of being wanted.
Jack: Are you part of the George Bush Appreciation Society?
Dave: No man... who made that club?
Jack: Bin Laden I think...