Rapaire is something green with lots of different kinds of hooch in it. Sorta like a Long Island Iced Tea or Bahama Blue - you don't realize it's kicked your ass until you try to stand up.

Rustic Rebel is a variant of Sex On the Beach.

Amos is too boring a name for a drink so it would have to be called "Infamous Amos" (with "infamous" intentionally mispronounced to rhyme). It contains a variety of obscure and little-known liqueurs. When you finish drinking it you're no sure whether or not you enjoyed it, whether or not you're drunk, and why in the hell you bothered with it in the first place.

I'm not sure what a Martin Gibson would contain, but I know it would be served in an asshole-shaped glass.