The Autumn seasonal fruits are at times very different & the persimmon is no exception. For a slight step on the wild side, try some Persimmon today or tomorrow. Persimmons taste like no other fruit. They have a silky, slippery texture and taste kind of like the fabulous fruity love child of a mango and a roasted sweet pepper, with some cinnamon in the background. They are rich and tangy and sweet, all at the same time.