Dylan
Blowin in the Wind.3 chords. G/C/D or C/F/G just to name two progressions.
Times they are a changin. 5 chords G/Em/C/Am/D
Springsteen
Tougher than the Rest 4 chords G/D/C/Em
Tim Hardin
Reason to believe 6 chords C/G/F/D7/F/Am
I have loads more but that should give you something to build up your confidence. Before I mastered the Full F chord I played a kind of Fmaj7 chord with these songs which worked ok. I just played the middle four strings.
First finger first fret second string,middlefinger second fret third string,ring finger third fret fourth string.This does work much better with a finger pick though. Also if the F is a problem you can change the chord progression to leave it out and if that doesn't suit your vocal range use a capo. Hope that helps and good luck.
