Okay this thread is new, but as far as arcade platformers go you have to have Ghost'n'Goblins & it's sequel Ghoul'n'Ghosts. Absolute classics thank U MAME!!
As for the amiga that's a tad tougher, but Bubble Bobble has to be considered. I didn't mind Addams Family as far as "console" platformers went,though I've gotta ask-
Why did Nintendo threaten to sue over Great Giana Sisters being a rip-off yet years later allowed Addam's Family,(a Mario-esque clone), by Ocean??
Just think,if G.G.S had been released for C64/Amiga by Rainbow Arts history might have been different??.....