Interestingly, STEM fields are leading the way on this issue. There is a central list for Astronomy/Physics and Bio/BioMed departments (see links below). Please note, some STEM departments require the subject test, but not the general GRE. I am listing mostly departments that do not require either. Confirm a department’s practice before applying by visiting their website.
Help me build this page — what programs did I miss?
Astronomy and Physics: see this (amazing) list of department admissions requirements
Biology and Biomedical Sciences: see this (amazing) list of departments which have dropped GRE or which are planning to do so
Chemistry: See THIS LIST; see also Biology and Biomedical Sciences: Emory; Michigan Technological University; Oregon State University (not req. for domestic students); Purdue; University of Hawai’i, Manoa; University of Michigan, Ann Arbor; Vanderbilt (Quantitative & Chemical Biology): Washington State University (Chemical Engineering and Bioengineering)
Computing and Computer Science: Brown University; Cal State Long Beach (MA, strongly recommended but not required); Cornell (recommended but not req.); Marquette (optional for admission but req. for financial aid); MIT (Electrical Engineering and Computer Science); Montana State University; Purdue; Stanford (optional for PhD, req. for MS); University of Illinois, Urbana Champaign
Ecology and Environmental Science: SEE ALSO THE BIOMED LIST ABOVE – MANY MORE PROGRAMS ARE LISTED THERE. Antioch University, New England (Environmental Studies); Brown University (Earth, Environmental and Planetary Sciences); Cornell (Plant Pathology and Plant-Microbe Biology); Dartmouth (Ecology, Evolution, Ecosystems, & Society); Iowa State University (Ecology & Evolutionary Biology); Princeton (Ecology & Evolutionary Biology); University of Arizona (Department of Ecology & Evolutionary Biology); University of California, Berkeley (Department of Environmental Science, Policy & Management); UCLA (Ecology & Evolutionary Biology); University of Kansas (Ecology & Evolutionary Biology); University of Maryland (Marine Estuary Environmental Science); University of Tennessee. Knoxville; (Ecology & Evolutionary Biology); University of Vermont (The Rubenstein School of Environment and Natural Resources)
Engineering: Arizona State (MS & PhD in Electrical Engineering, for applicants w GPA above 3.0); Brown (ScM/Master in Biomedical Engineering, req. for PhD); Colorado University Colorado Springs (GRE not req. except for applicants not meeting minimum GPA, applying with degree from an ABET-accredited department, and degree from university outside US); Harvard (optional); MIT (Electrical Engineering and Computer Science); University of Idaho (Civil Engineering); University of Nebraska-Lincoln (MEM); Washington State University (Chemical Engineering and Bioengineering)
Food Science: McGill (Food Science and Agricultural Chemistry, not required but recommended)
Geoscience: Boise State University; Princeton; University of Minnesota, Twin Cities; Washington University, St. Louis
Information: University of California, Berkeley; University of Michigan, Ann Arbor
Mathematics and Statistics: Brown University (subject test recommended); Georgetown (Masters in Math/Statistics); Lehigh University (not required but “helpful”); Montana State University; University of Minnesota (general GRE optional; subject test “strongly recommended”); University of Waterloo Canada; Washington State University (Statistics.)
Psychology: Chicago School of Professional Psychology; Oregon State (Counseling); Philadelphia College of Osteopathic Medicine; Princeton; University of California, Santa Barbara (Department of Counseling, Clinical & School Psychology); University of Michigan (PhD in Psychology for Personality and Social Contexts and Women and Feminine Studies); Stanford
Public Health: SEE THIS SPREADSHEET
Other/Interdisciplinary: Rockefeller University; Dartmouth Psychological and Brain Science or Cognitive Neuroscience