I've been tracking flyouts by school and eventual placement via the Wiki/school sites for the past few years (and posting the results here), as part of an informal project on how the econ job market performs. Though there are still a number of top schools that don't have online seminar lists, there are enough that relative PhD program ranks can be constructed.
The first number are the total number of students that have at least one listed flyout at a "top" econ department (think anything at least as good as Yale SOM, Boston U, or UPF). The second is the number of candidates above a subjective cutoff which is roughly equivalent to someone with at least a top 10, a top 15, and 2 top 20 flyouts or better. I do not include candidates more than 2 years out of their PhD, and do not include finance department flyouts. Obviously there are data availability problems, so only the relative numbers are very meaningful.
MIT 10 5
Yale 9 4
Harvard 8 4
Princeton 7 4
Penn, Cal, Columbia 5 2
NYU 5 1
Michigan 4 1
Northwestern, Chicago, Stanford 3 1
UCLA 2 2
Minnesota, LSE, Harvard biz, Toulouse, Minnesota, EUI 2 1
Duke 2 0
Chicago finance, UCL, CEMFI, Sciences Po 1 1
Warwick, Cal stats, Cornell, Cornell CS, Cal Agecon, LBS, Indiana, Booth stats, UCSD, Virginia, Penn State, Harvard PP, UBC, Wharton applied, Maryland, BU, Hebrew math 1 0
Some interpretation: MIT and Harvard are dominating flyouts to a much lesser extent than the last few years. Yale, Penn, Princeton, Cal, Michigan and Columbia have very good years; Chicago, Stanford, Northwestern and UCSD are doing worse than normal. "Top" flyouts went to people from 40 programs and 34 schools, so it pretty clearly is possible to get them even if you don't go to the very top programs. A number of top flyouts went to people coming of post-docs, which hadn't happened before.
Also, solely based on flyout lists, I would guess
Andrews (MIT, metrics)
Stantcheva (MIT, public)
Rao (Cal, dev)
Neilson (Yale, applied micro)
Lamadon (UCL, macro)
Gaubert (Princeton, intl)
Sierra (Columbia, polecon)
No clear theory or IO candidate this year, which is unusual.