It's difficult to maintain an up-to-date list because scholarship opportunities change every year. Here's a list from 2006: Institutional Merit Based Scholarships (Full Tuition +)
The list above is not specific to international students but a good place to start. The EduPass list might be useful too, but it hasn't been updated since 1999. It also doesn't distinguish between need-based aid, academic scholarships or athletic scholarships, nor do these universities necessarily offer full-tuition support. Do look it at, but don't consider it to be comprehensive. A lot has changed since 1999.
A few off the top of my head: Villanova University, Columbia College (in South Carolina), University of New Orleans, St. Peter's College, Wesleyan University, Ithaca College, Mississippi University for Women, Boston University, Park University.