Here's what rhymes with unappeasible.
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peaceable achievable appreciable inappreciable unbelievable believable perceivable conceivable receivable irretrievable retrievable inconceivable teachable seasonal readable unspeakable reachable treatable unbeatable uneatable unteachable regional agreeable unreasonable redeemable repeatable unimpeachable unreadable irredeemable unrepeatable impeachable teacupful cleanable useable nonseasonal concealable resealable unuseable nonredeemable foreseeable interpretable interregional unforeseeable disagreeable paracetamol