Vicinity rhymes with:
affinity, alkalinity, divinity, femininity, infinity, masculinity, mcginnity, salinity, trinity, affinity, alkalinity, amenity, community, conaty, dignity, disunity, divinity, eternity, femininity, fraternity, gaynatie, immunity, indemnity, indignity, infinity, inhumanity, insanity, masculinity, mcginnity, modernity, opportunity, profanity, salinity, sanity, serenity, solemnity, trinity, unity, vanity
Vicinity sounds like:
vacant, vacanti, vaccinate, vaccinated, vegemite, vescinoid, vicente, vicomte, vigeant, vignette, visconti, viscount