What are the oldest well-known American universities? 

Source: NICHE RESOURCES

(Subjective) Answers: 

[Note from JA] I have omitted many schools from the list because, in my opinion, they are lesser-known today. 

1. Harvard - 1636

2. College of William and Mary - 1693

3. Yale - 1701

4. Princeton - 1746

5. Columbia - 1754 

6. Brown - 1764

7. Rutgers - 1766

8. Dartmouth - 1769

9. Georgetown - 1789