Columbia
“Scores for January tests are generally received in time for consideration, but it is strongly advisable to take testing no later than December. Testing taken in February or later cannot be considered.” (Source: Columbia Admisisons FAQ.)
Dartmouth
According to their admissions website, the last SAT date is in January, and the last ACT date is in December. (Source: Testing, Regular Decision, Dartmouth Admissions.)
MIT
“In order to apply for freshman admission, you must take the required tests on or before the November test date for Early Action or the January test date for Regular Action. These are the latest scores that will reach the Admissions Committee in time for review.” (Source: Tests, MIT Freshman Admissions.)
Northwestern
The latest tests you can take for Northwestern are the December ACT and the January SAT. (Source: Application Options, Northwestern Undergraduate Admission.)
Princeton
“Regular decision applicants must complete all SAT testing by the January test date. All ACT testing must be completed by the December test date. If you currently live outside the United States or Canada, try to complete all testing by the December test date, if possible.” (Source: Standardized Testing, Princeton Undergraduate Admissions.)
University of Pennsylvania
According to their admissions website, at Penn, the last SAT date is in January, and the last ACT date is in December. (Application Deadlines and Fees, University of Pennsylvania Admissions.)
Schools That Accept Testing Through February
Some schools have even later testing deadlines. In addition to taking the January SAT, they will also take the early February ACT. Again, these schools are in the minority, so do your best to complete your testing much earlier than January and February of your senior year!
Harvard
Harvard accepts the late January SAT, but it also accepts the mid-February ACT. However, they also note that “we advise you to complete and submit at least one component of the required tests (SAT or ACT with Writing or two College Board Subject Tests) by the end of November. This will allow us to begin our evaluation process for those submitting applications by December 15.” So even though you can submit the February ACT, the earlier you can submit scores, the better! (Source: Application Timeline, Harvard College Admissions.)
University of Chicago
“We will accept January SAT scores and February ACT scores.” (Source: First Year Applicants, University of Chicago College Admissions.)
Yale
Yale will also take the late January SAT and mid-February ACT. However, they do caution that “we cannot guarantee that February ACT results will arrive in time for consideration. To increase the likelihood of a timely report, take the test in December or earlier, and list Yale as a score recipient when you register for the test.” (Source: Application Deadlines, Yale Undergraduate Admissions.)
These are the only ones I’ve found