Thought it fit the bill.
BTW, someone else cited the USNWR ranking, but the USNWR rankings are not very good and easily manipulated. Probably worse than the coaches' polls for NCAAF.
There is actually not one great ranking system for Universities, many of which rely on reputation for scoring, which can change over time. IMO, research money is a fairly decent indicator in the strength of faculty.
And pure numerical rankings are quite comical unless you look at underlying data. Have made this argument for years regarding football recruiting rankings. Sure the top 25-30 teams have a lot of 4 and 5 star talent, but after that the numerical rankings don't often distinguish #40 from #50 that much. However, for University research it's different. See below.
In the latest (2022) rankings for NSF-funded research:
Rutgers is #46 at $712,231. Rutgers has fallen quite a bit since 2014 when they were #31. Not sure why that is so.
UofF is #25 at $1, 085,834. UofF is great University, and I never said otherwise.
USF is #75 at $405, 166
FSU is #82 at $355,986. They are not in AAU as someone above said.
USF and FSU are quite a few rungs down the ranking. They are both below Miami at #69, a much smaller school.