If there's interest in learning the chord progression and following the root motion with options approach, take a look at this website I stumbled across. These are listed as 3-chord songs (why there is 4 or more listed I don't know). There's a whole lot more there.
Bob Egan's MOST EXCELLENT LIST OF 3-CHORD and 4-CHORD SONGS (note: this site is in BETA)
G, A, D -
All You Need is Love (The Beatles)
G, Am, C -
The Boys Are Back in Town (Thin Lizzy)
G, B, C (v) C, B, Bb, A (c) (G,E) -
Dock of the Bay (Otis Redding)
G, Bm, Em, A, C, D -
Love Has No Pride (Linda Ronstadt)
G, C, D -
Love Me Do (The Beatles)
G, C, D -
Good Golly Miss Molly (Little Richard)
G, C, D -
I Fought the Law (Bobby Fuller Four)
G, C, D -
Route 66 ( Bobby Troup)
G, C, D -
Further on up the Road (Eric Clapton)
G, C, D -
Rain (The Beatles)
G, C, D -
All Shook Up (Elvis Presley)
G, C, D -
The Mighty Quinn (Bob Dylan)
G, C, D -
Free Falling (Tom Petty)
G, C, D -
Ring of Fire (Johnny Cash)
G, C, D -
Cecelia (Paul Simon)
G, C, D -
Move It On Over (George Thorogood & the Destroyers)
G, C, D -
You Shook Me All Night Long (AC/DC)
G, C, D -
Lonesome Fugitive (Merle Haggard)
G, C, D -
Summertime Blues (Eddie Cochran/The Who)
G, C, D -
Barbara Ann (The Beach Boys)
G, C, D -
All Together Now (Beatles)
G, C, D -
Joy to the World (Three Dog Night)
G, C, Am, D7, A7 -
Jingle Bells (Traditional)
G, C, Bb -
My Sharonna (The Knack)
G, C, D, (Em) -
This Little Light of Mine (Traditional)
G, C, D7 -
Yakkidy Yak (The Coasters)
G, C, D7, Em -
Brown Eyed Girl (Van Morrison)
G, C, Em, D -
Kum Ba Yah My Lord (Traditional)
G, C, Em -
Blister in the Sun (Violent Femmes)
G, C7, D7 -
Geat Balls of Fire (Jerry Lee Lewis)
G, C7, D7 -
Hound Dog (Elvis Presley)
G, D, Am - G, D, C -
Knockin' On Heaven's Door (Bob Dylan)
G, D, A -
Dear Mr. Fantasy (Traffic)
G, D, C -
The First Cut is the Deepest (Cat Stevens)
G, D, C - Em, C, G, Am -
Take It Easy (Eagles)
G, D, C -
Already Gone (Eagles)
G, D, C (F, D7) -
I'm A Believer (Monkees)
G, D, C (Em) -
Silent Night (Traditional)
G, D, C -
Thunder on the Mountain (Bob Dylan)
G, D, C -
Already Gone (The Eagles)
G, D, C -
Small Town (John Mellencamp)
G, D, C -
Jack and Diane (John Mellencamp)
G, D, C -Cm, Bb, F -
Green Tambourine (Lemon Pipers)
G, D, C -
Queen Bitch (David Bowie)
G, D, C -C, Em, D -
Shine (Coldplay)
G, D, Em, C (chorus=Bm)
Pork and Beans (Weezer)
G, D, Em - F, C, D -
Free Bird (Lynyrd Skynyrd)
G, D, A -
Praise You (Fat Boy Slim)
G, D, Em - Am, G, D - G, B -
Come On Feel Noise (Quiet Riot)
G, Em - A, C, G -
Hand In My Pocket (Alanis Morisette)
G, Em, C, D (V) C, Bb, G (c) -
I'll Be Watching You (Sting)
G, F, C (Em) -
Ramblin' Man (Allman Brothers)
G, F, C -
Mother (John Lennon)
G, F, C -
Sympathy for the Devil (Rolling Stones)
G, F, C7 -
Fortunate Son (Creedence)
G, F, C -
Pink Houses (John Mellencamp)
G, F, C, Eb - G, D, C, D -
Baby, Won't You Follow Me Down? (Bob Dylan)
G, F#, E -
I Just Wanna Be Your Dog (Iggy Pop)
G7, C7, D7-
Wooly Bully (Sam the Sham & the Pharoes)