The Beatles' song "I'll Follow the Sun" has some fine acoustic guitar playing on it. And the melody is so sweet, I wrote this fingerstyle arrangement for one of my guitar students.
 
This is fairly challenging so if you are new to fingerstyle guitar this might not be the place to start. Intermediate guitar players should be able to get through it with some work.
 
The file is in PDF format, two pages, with tablature and standard notation.