And there were a LOT of them:I'll start-1)1964's "I Saw Her Standing there"(B-side of "I Want to Hold Your Hand" ) 2)1964's lovely ballad "And I Love Her"(a song you wouldn't expect from The Beatles),3)and 1964's "Thank You,Girl"(B-side of "Do You wanna Know A Secret".)Know any others?Source:The Billboard Book of top 40 Hits

Well I "sort of" have one.

Eleanor Rigby just missed the top ten in the US, hitting #11. However it did go to #1 in England & Canada.

Another is "Roll Over Beethoven" from 1963 that went to #68 US

(I used Billboard as my source too)