Answer: Below are the characteristics of the most widely grown non-astrigent persimmons. I'll bet one of them fits your preferences:
Medium-large oblate fruit, faintly four-sided. Skin deep orange. Flesh light orange, sweet and mild. Ripens late. Keeps well and is an excellent packer and shipper. Tree vigorous, spreading, productive. Most popular nonastringent cultivar in Japan.
Large, roundish-oblate fruit. Skin reddish orange, attractive. When fully ripe has one of the deepest red colors of any persimmon. Flesh quality good, sweeter than Fuyu. Ripens in late October. Tree somewhat dwarf. Bears regularly but sets a light crop in some seasons and is prone to premature shedding of fruit.
Similar to Jiro. Reddish brown skin. Occasional male flowers and seeds. Probably a bud mutation of Jiro. Ripens late October and early November
Medium-sized fruit. Skin burnt orange. Flesh soft, with a good amount of syrup, of fine texture. Flavor very good. Not reliably nonastringent. Ripens early, from the end of September to mid-October. Tree somewhat dwarf. Bears only female flowers. Sets good crop.
Fruit large. Resembles Fuyu, but more truncated and squarish in cross-section. Skin orange-red. Flavor and quality excellent. Ripens late October and early November, ships well. Often sold as Fuyu. Tree slightly upright. Most popular nonastringent variety in California.
Medium-sized, rounded fruit, smoother and less indented than Jiro. Rich orange in color. Sweet and of good quality. Ripens in mid-season. Tree slightly upright. Must be planted with a suitable pollinator to ensure good fruit yield. Bud mutation of Jiro.
Medium-sized, round fruit. Skin orange to deep red. Flesh sweet, of good texture, flavor good. Not reliably nonastringent. Ripens in early November. Tree medium-sized, vigorous, spreading. Differentiates male flowers, making it a suitable pollinator.
Large fruit. Skin orange-red. Flesh dense, very sweet, excellent quality. Difficult to soften on tree (fruit becomes spongy rather than soft). Ripens in November, keeps well Tree almost free from alternate bearing. Recommended for warmer climates.
Hope you find just the right persimmon!
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