Fragility rhymes with:
agility, agility, ability, acceptability, adaptability, admissibility, affordability, agility, amiability, applicability, availability, capability, civility, combinability, compatibility, comprehensibility, debility, deductibility, docility, ductility, electability, feasibility, fertility, flexibility, futility, hostility, inaccessibility, invisibility, irresponsibility, irritability, legibility, malleability, mobility, nobility, overwhelmability, palatability, possibility, probability, rehability, reliability, responsibility, senility, susceptibility, utility, versatility, viability, virility, volatility
Fragility sounds like:
fairchild, faircloth, frazzled, freckled, frugality