Bedroom rhymes with:
headroom, boardroom, headroom, backroom, ballroom, barroom, bathroom, boardroom, bridegroom, classroom, cloakroom, courtroom, darkroom, elbowroom, headroom, livingroom, lunchroom, mailroom, newsroom, playroom, restroom, schoolroom, stockroom, storeroom, sunroom, toolroom, washroom, workroom
Bedroom sounds like:
bathroom, batterman, biderman, biederman, biedermann, bitterman, bittermann, buitron, buttram, buttrum