I came across this Nature paper on academic hiring networks (https://www.nature.com/articles/s41586-022-05222-x). According to their data visualizer (https://larremorelab.github.io/us-faculty/), a department's prestige rank is "measure of its ability to place its graduates at other prestigious universities." I am wondering if the ranking below rings true to your own impressions of the relative strengths of classics departments.
This list is drawn from here: https://larremorelab.github.io/us-faculty/hiring-flows/Field/classics-and-classical-languages/
Harvard
Princeton
UC Berkeley
Stanford
Yale
Michigan
Columbia
Penn
Chicago
Bryn Mawr
Brown
Cornell
UNC
UCLA
Johns Hopkins
Ohio State
University of Cincinnati
University of Washington
UT Austin
Duke
NYU
University of Wisconsin Madison
Indiana University Bloomington
USC
UVA
University of Illinois Urbana-Champaign
Rutgers
Emory
University at Buffalo (SUNY)
UC Irvine
University of Pittsburgh
Wash U
And it goes on...