Regnery rhymes with:
binary, cannery, chicanery, conery, connery, fernery, finery, fitzhenry, flanary, flanery, flannery, grainery, greenery, gunnery, henery, henrie, joinery, machinery, mcenery, nunnery, ornery, plenary, refinery, scenery, whinery, whinnery, winery
Regnery sounds like:
racamier, rajkumar, rasner, reasner, reasoner, recessionary, reckner, regner, regnier, reisenauer, reisner, resner, richner, rickner, risner, rockmore, roegner, roesner, roessner, roquemore, rosemarie, rosemary, rosemeyer, rosener, rosner, rossmore, rossner, rushmore