Looks like Texas - Austin changed its web page so that calculus is no longer required for frosh applicants to the College of Natural Sciences.
Caltech: http://www.admissions.caltech.edu/content/academic-preparation-requirements
Cornell, Dyson AEM and Engineering: https://admissions.cornell.edu/pdf/freshman-requirements-chart
Harvey Mudd: https://www.hmc.edu/admission/apply/first-year-students/eligibilty/
MIT “recommendation”: http://mitadmissions.org/apply/prepare/highschool
Minnesota - Twin Cities “preferred”: https://admissions.tc.umn.edu/admissioninfo/fresh_overview.html
Olin College of Engineering: http://www.olin.edu/admission/apply/
Penn, Engineering and Wharton “would like to see”: http://www.admissions.upenn.edu/apply/whatpennlooksfor/hsprep
Rensselaer Polytechnic Institute “recommended”: http://admissions.rpi.edu/undergraduate/admission/freshman/requirements.html
Stevens Institute of Technology, for engineering, computer science, applied science, and quantitative finance majors “recommended”: https://www.stevens.edu/admissions/undergraduate-admissions/how-apply/first-year-students
WUStL, Architecture, Business, and Engineering “strongly recommended”: https://admissions.wustl.edu/apply_site/Pages/First-Year-Student-Requirements.aspx
Weslayan “recommended”: http://www.wesleyan.edu/admission/apply/deadlines.html
Note 1: Some of the above specify calculus only for some majors or divisions.
Note 2: Some write “recommended” or “would like to see” or some such, which probably means that a student with the opportunity to take calculus while in high school should do so, but they may not want to completely exclude students from disadvantaged or unusual situations who may not have the opportunity to take calculus.