Laxity rhymes with:
complexity, perplexity, analyticity, animosity, atrocity, audacity, biodiversity, capacity, complexity, complicity, curiosity, density, diversity, domesticity, eccentricity, elasticity, electricity, falsity, felicity, ferocity, generosity, incapacity, intensity, monstrosity, necessity, obesity, opacity, overcapacity, paucity, perplexity, perversity, publicity, religiosity, simplicity, specificity, toxicity, university, velocity, viscosity, voracity
Laxity sounds like:
laced, lacked, lacoste, lactate, lagattuta, lagged, lakeside, lakewood, lakota, lashed, lasota, last, lasted, laughed, lawsuit, laziest, leached, leaked, leased, leashed, least, legate, legato, leget, legette, legged, leggett, leggette, leggitt, legit, leicht, leichty, leight, leighty, leist, lesotho, lest, lestat, leucadia, leukocyte, lezotte, licata, licht, lichte, lichty, licked, lickety, liechty, ligget, liggett, light, lighted, lightheaded, lighty, liked, likud, liquid, liquidate, liquidated, liquide, liquidity, lisette, list, listed, liszt, lizotte, locadia, locate, located, lochhead, locked, locket, lockett, lockheed, lockout, lockwood, loctite, locust, logged, logwood, looked, lookit, lookout, loosed, loquat, losada, losito, lost, lougheed, louisette, loused, lowest, loyalist, lozad, lozada, lozito, lsd, lucado, lucchetti, lucette, lucht, lucid, lucida, lucidity, lucido, lucite, lucked, luckett, luckiest, luquette, lust, lusted, lusty, lysaght