acorns...
I guess it depends on the type, but you can go up to about 3-4 inches deep with the larger acorns. They have a lot of energy stored up. I have seen Califoirnia live oak acorns push themselves up 6 inches from a squirrel burial chamber in the soil. The blue scrub jays around here tend to plant the acorns randomly about 2 inches deep. I would plant them about 2-3 inches deep I guess.
Around here the big problem with oak acorns and seedlings is that the deer love to eat them and the rodents love the acrons as well. We have some very old (400 years?) California black oaks here that are over 60 feet tall. Huge old guys that produce tons of acorns each year. We get seedlings in the spring and then the deer eat them and that's it. So we put plastic tree savers around the oak seedlings last spring to keep the oaks from being eaten. So far, so good, but they have to get to about 6 feet here to survive the deer here.
Also another creature that collects acorns are woodpeckers. Acorn woodpeckers gather acorns and put them in holes in trees. Then they come back hoping that a grub has crawled inside the acorn and eat it. I am not sure whay the scrub jays plant acorns. ???
Good luck with your planting adventure.