Okay! I'm going to do this without electronic help, so here goes:

For Once In My Life - Frank Sinatry
Fly Me To The Moon - Frank
Fall on Me - REM
For All the Cows - Foo Fighters
Falling For the First Time - BNL
Funkytown! - uhm, that band that did Funkytown
Faithfully - Journey
Free as a Bird - the Beatles
Free Bird - Lynyrd Skynyrd
Far And Away - Enya

That's kinda hard! But really fun!