I am MURDER with a tiny noise annoying me. A door being left open that clicks when the wind (open window) pushes it drives me insane, so much so that I get up and shut it myself.
I can sleep with either no noise at all, or absoloutly loads of noise. A really really little noise like a TV downstairs that I can FAINTLY hear will reeeaally bug me but I can happily fall asleep with music blasting in my ears xD