Copycats rhymes with:
pussycats, polecats, pussycats, thundercats, wildcats, acrobats, aerostat's, aerostats, aristocrats, badavatz, brickbats, bureaucrats, caveats, coseratz, democrat's, democrats, democrats', diplomat's, diplomats, diplomats', doormats, fiat's, formats, habitat's, habitats, laundromats, plutocrats, polecats, pussycats, rosenblatts, technocrats, thermostats, thundercats, wildcats, wombats, ziggurats
Copycats sounds like:
capacities, capstick, chappaquiddick, chopstick, chopsticks, copycodes