<p>What about the Fulbright? I haven’t found data from all years. However, here are the top 19 schools (because there are a number tied for 20th) from 2011-12:</p>
<p>Univ of Michigan – 29
Northwestern – 27
Yale – 26
Stanford – 25
Univ of Chicago – 25
Univ of Washington – 24
Columbia – 23
Boston College – 21
Harvard – 20
Pitzer – 19
Smith – 19
Arizona State – 18
Univ of North Carolina – 18
Johns Hopkins – 16
Univ of Arizona – 16
Univ of Maryland – 16
George Washington – 15
Georgetown – 15
Pomona College – 15 </p>
<p>Top 20 Rhodes according to The Rhodes Trust website:</p>
<p>Harvard (including Radcliffe) – 335
Yale – 223
Princeton – 199
Stanford – 91
US Military Academy – 87
Dartmouth – 61
Brown – 50
Univ of Chicago – 49
Univ of Virginia – 47
US Naval Academy – 44
Univ of North Carolina – 42
Duke – 41
MIT – 41
US Air Force Academy – 37
Univ of Washington – 37
Williams – 34
Univ of Wisconsin – 30
Swarthmore – 28
Columbia Univ – 27
Cornell Univ – 27</p>