National Association for College Admission Counseling
The National Association for College Admission Counseling (NACAC) came out with a list of 700 public and private colleges that are still accepting applications for fall 2020. The list is for prospective and transfer students and includes schools in the US and abroad. NACAC states that "typically, colleges will continue to join the update after the May 5 public release date, so check back periodically to see additional colleges still accepting applications". You can access the list here.