my favorite is CA (seey-ay), its short for cyranoacrilate or something like that. you can get it with kicker in a spray bottle, makes the glue dry instantly, if the 1-15 second cure time is too long for you.
it doesnt break polymers and repolymerize plastics, but its awesome at bonding. definitely a glue of choice at audio shops and hobbyists. you can get it at any hobby shop.