– New York University has offered classes in Romanian before. You can check to see if they are still doing so.

– Columbia University

– I’ve also heard rumour of courses at Carnegie Mellon and/or University of Pittsburgh.

– Eastern Nazarine College offers a Romanian Studies program. They’re in Massachusetts.

– Ohio State

– Indiana University Bloomington

– Arizona State University,

– I believe James Madison might.

– Harvard

– Northwestern

This list is in no way complete, but gets you started.

I’m not sure if any of these offer an actual minor in Romanian. At some, you’d end up minoring in, say, Eastern European studies or similar. All do offer Romanian classes, and for those where I wasn’t positive, I said so.