Anytime rhymes with:
everytime, movietime, airtime, alltime, bedtime, centime, christmastime, daytime, dinnertime, downtime, everytime, flextime, fulltime, funtime, halftime, lifetime, longtime, lunchtime, maritime, mealtime, meantime, movietime, nighttime, noontime, overtime, parttime, pastime, peacetime, primetime, quicktime, ragtime, schooltime, showtime, sometime, springtime, summertime, wartime, wintertime
Anytime sounds like:
amadon, amandime, amidon, ammunition, anathema, anatomy, andean, andino, andonian, animation, annotation, antenna, antennae, antenne, anthem, anthon, anthony, antoine, anton, antone, antoni, antonia, antonin, antonini, antonio, antoniou, antoniu, antony, antoon, antuna, antwine