What are some good finger picking songs like Blackbird by the Beatles or Angeles by Elliot Smith? I already have learned a few and I'll list them so I don't get repeats.

Blackbird - the Beatles
Angeles, Somebody that I used to know - Elliot Smith
Heart of life, Stop this Train, Who Says - John Mayer
Dust in the Wind - Kansas
Scared - Tragically Hip
Under the Bridge,Snow , Road Trippin' - RHCP

Anything else would be greatly appreciated I like the fingerpicking style more than anything!
Bob Dylan - Dont Think Twice
Bob Dylan - Girl Grom North Country
Simon & Garfunkel - Scarborough Fair
Mason Williams - Classical Gas
Lynyrd Skynyrd - Simple Man
You can find a TON looking through the songs of Simon and Garfunkel and Jim Croce.

There are many others, of course, but those are two of my favorites for that style of music!!
Opeth - Benighted
- Patterns in the Ivy (Pt. 1 & 2)
- Hope Leaves
Bruce Dickinson - Acoustic Song
Romeo and Juliet - Dire Straits. Great song, but you will need to tune your guitar in open G