The vast majority ... in fact, looking at a map, I would say these are the only states that DON'T have areas with ties to more than one region or large subregion:
NEW ENGLAND - Maine, Massachusetts, New Hampshire, Rhode Island & Vermont
MIDWEST (BIG TEN COUNTRY) - Iowa, Michigan and Wisconsin
GREAT PLAINS - North Dakota and South Dakota
MOUNTAIN WEST - Utah
SOUTHWEST - Arizona and New Mexico
This is subjective and depends on how you carve out the regions, but using an example of my home region's states that weren't included:
IL: As said above, the southern third of Illinois is quite culturally Southern (i.e., "Little Egypt").
IN: Though I am less knowledgeable about it, Southern Indiana is also starting to get fairly "Southern" in some areas.
KS: While the rest of the state becomes more "Plainsy," the Kansas City suburbs have less of that feel.
MN: Western Minnesota is kind of the inverse of Nebraska in that its population likely "defers" to the Dakotas a bit more, and therefore the Plains.
MO: A big mess.
NE: Omaha has a feel decidedly more like Iowa, whereas the rest of Nebraska (west of Lincoln, anyway) has a much more Plains-like (or "Western Midwest") aspect to its culture.
OH: A bit of Appalachia in there.
I agree with your post, but I really think there are at least a handful of states (starting with Alabama and Mississippi) that could only be described as one Southern region.