im pretty sure you will need an adaptor peice to fit any caliper. but most bicycle calipers are pretty generic fitting (i think there are only 2 main styles)
they come in various shapes and sizes to fit your needs.
although ive found....even when ordering the "correct" size adaptor, pad to rotor edge alignment can still be off. either spacers need to be added or the adaptor needs a little bit milled off.
note: i found that when i went to disc brakes i used the 160mm rotors i had....and they were terrible. but the same (cable operated) calipers with same used pads are now excellent with a 203mm disc....
you probably dont need new calipers.....just a larger 203mm disc and an adaptor.