My paternal side has deep roots in the U.S. just like my maternal side, but instead of New England, it's British immigrants to what is now Virginia and Maryland.
9th US President - William Henry Harrison
23rd US President - Benjamin Harrison
39th US President - James Earl Carter Jr.
Now, since doing this research, I've found that there's actually even more Presidents that I'm related to on both sides but I thought I'd focus on the closest relations.
As long as you can find that one ancestral line that hits a royal somewhere in Europe, you're pretty likely to find that you are related to all kinds of historically famous people. It's been a really fun indulgence the last few weeks going over all these lines and it does suddenly bring history to life when you realize some name you read is actually a relation, no matter how distant!