IvyPlus -12: H/M/S/Y/P, Columbia, Penn, UChicago, Duke, Brown, Dartmouth, Cornell
And: Caltech, JHU, Northwestern
These T15 are the most prestigious no matter how you dice & slice.
For public schools: UCB, UCLA, Michigan. As far as undergraduate rep, these 3 are on par with or close to the tail of T15 private schools. UVA would come close.