One of the first finger picking songs that I teach all my students is a song by Opeth called Benighted.  Everybody loves it and it's easy to play.  Give it a try.  Make sure you use the correct picking fingers.  They are notated below the staff.

FINGER STYLE II

BENIGHTED By Opeth

tab for the song benighted by opeth

Note: The chord played at :20 on the video is wrong. Make sure to play B7 like the tab shows.  I will be redoing the video soon. Thanks!

Learning Blackbird is going to take some hours, but that's how you get good, right?!

BLACKBIRD By The Beatles

tab for the song blackbird by the beatles
red guitar logo illustration