Allister rhymes with:
callister, alister, ballester, callister, collister, hollister, macallister, alister, armbrister, ballester, banister, barrister, burmester, callister, cannister, chedester, chidester, chronister, collister, edmister, flemister, forister, hardister, hiester, hollister, keister, kiester, macallister, regester, register, reister, riester, sinister
Allister sounds like:
alastair, alaster, alcester, alistair, alister, alligator, allocator