UK MNers: Which American universities and colleges can you name?

[esperance]

DH, who is an American, and I have had a long-running disagreementconversation about the "name-recognition" of American universities and colleges.
Leaving aside the astronomical cost of American higher education and whether or not "name-recognition" is important, I am curious if any Mners can name off-the-top of their heads, ie, without consulting Professor Google, which are the top American universities? Also American colleges, known there as Liberal Arts Colleges.
So, any MNer with a moment to spare...please share your knowlege!

Am going to answer OP without looking at other replies. This may be embarrassingly ignorant:

Yale
Harvard
Princetown
Radcliffe (does that still exist? I know of this place due to Love Story
Brown
Cornell
I know the states all have a "state" uni so them too
MIT

That's about it. God I feel ignorant now.

Off the top of my head:
Yale, Harvard, Brown, Columbia, Stanford, UC Berkley (part of the U of California)
various University of [state] (often very good) and [State] State University (less good?) which I think are different - eg U Michigan and Michigan State are different places but I wouldn't bet money on that always being the case.

Liberal arts: Smith and Wellesley? I saw Amherst upthread but always thought that was a posh private school like in Dead Poets Society.

Embarrasingly I'm actually American, just never lived there. And my family mostly went to UM or State with the odd scholarship to U Someotherstate!

Penn State, Texas A&M, Cornell, UCD, UCB, Colorado State, Virginia Tech, College of William and Mary, North Carolina State, Florida State, Havard, MIT, Stanford.
Looking back now I am amazed know one else has listed Cornell.

I have a feeling a lot of people who have said Penn State mean the University of Pennsylvania (Wharton School of Business is part of UPenn).