I dont know any with three chords(speaking of Guitar) but lord i lift you name on High was the first song i learned to play and it has five, 'G' 'C' 'D' "E" minor and 'A" minor. Very easy song.
Oh i remembered one with only three Amazing Grace its just "C", "G" and "A7" I think.
Yes, i'm learning how to play the guitar. No, l'm not taking lessons cause we just don't have to money to do that. But i'm trying to teach myself how to play it. I know the A chord . But here is the thing. A few months ago i broke one of my strings on my guitar. So i'm waiting intill i have enough money to go & get it fixed. I don't have a chord dictionary. I know how to read music cause i've been in choir all my life.