Just to clarify one point, Blue Bell is a brand of ice cream, not a flavor. (And a good one, too, not a huge national chain but a local creamery in Texas. Some of you may remember the commercials with the talking cows.)http://www.bluebell.com/
In the dim dark ages, bubble gum was an artificially pink
flavor at Baskin Robbins, with little pieces of real bubble gum in it. It wasn't very good.
Never heard of 'blue moon' but it sounds sufficiently awful.
'Bavarian blue' sounds to me like a breed of cat ...