Not many, for sure the Bitternut or White Walnut. I am in Zone 4 and so far have been growing a zone 5 Shagbark Hickory and Bitternut-both beyond edible. Also, you might prefer a Chestnut variety, I know there are many hybrids available, and I would think a few hardy ones.
If I could grow an Almond or Pecan tree in Zone 4 I would be ecstatic