what universities are on par with the following LACs, in terms of prestige?

With historical perspective, it would seem that a shuffling in prestige (or at least identifiable academic standards) can occur across time:

SAT Tiers (circa 1960)

Amherst/Williams ~= Columbia, Harvard, Princeton, Yale

Hamilton ~= Brown, Cornell, Dartmouth, Stanford

Bowdoin/Middlebury ~= Duke, UMichigan, Northwestern, UPenn, Tufts, UC-Berkeley

Colgate ~= UColorado

https://books.google.com/books?id=ykQEAAAAMBAJ&pg=PA100&lpg=PA100&dq=life+magazine+1960+college+admission+tufts+bowdoin&source=bl&ots=5BKi5WV8SQ&sig=GFl_LycVnJV8AGIXLX2P9kW97I0&hl=en&sa=X&ei=sO1TT4uPK-jm0QG8ifC3DQ#v=onepage&q&f=false