As other have pointed out, white oak acorns are preferred over red oak because of the white's lower tannin content (tannin produces a bitter taste). However, within the white oak family, there are differences in preference. The Swamp Chestnut Oak and Swamp White Oak are THE most preferred white oak acorns. Following those are the Chinquapin and true White Oaks. Post Oak and Overcup follow those. Low on the preference list (in the white family) is the Mountain Chestnut Oak.
Sawtooth Oak acorns are very highly preferred, but Sawtooth are not native to the U.S., although they have been planted so extensively for landscape and wildlife purposes that they can often be found "in the wild."
The Sawtooth Oaks drop acorns first, followed closely by the Mountain Chestnuts. The other varieties of whites generally drop two weeks after the Mountain Chestnut.
Red oaks are more variably. I've often found that reds start dropping very early, but continue to drop over a very long period of time. I've seen individual red oaks start dropping in late September yet are still dropping acorns into early December.