Of the places I applied to last year, these programs required the supplemental evaluation letter:
Cincinnati
Yale
WashU St. Louis
Mount Sinai
Brown
Vanderbilt
UWashington
Here are other programs with extra requirements:
Case Western: Copy of undergrad transcript if you're invited for interview
Iowa: send them an email with a paragraph about "why iowa"
UVA: Supplemental application (not the letter, it's an application you download from their website)
UCSF: 1 of your 3 LOR must be from an attending who isn't a surgeon, also require passing scores on Step 2CS and 2CK by February 1st
UCLA: send MCAT scores via email
Rutgers-Newark: send them MCAT scores via email
NYU-HJD: include a paragraph about "why NYU" in your personal statement on ERAS, so you need to make a separate PS for them
Harvard: passing scores in Step 2CK and Step 2CS by January
