After the breakup was thinking what an amazing body of work was released by the main 3 songwriters immediately. Especially Harrison who didn’t always get his songs onto Beatles albums. Although, he did make his point by providing the band with the last No 1 single (Something) and some would say the next best song (Here comes the sun) on Abbey Road.
These are the songs they wrote, recorded and released in 70 and 71.
Harrison: It Don’t come easy (Written for Ringo), I’d Have you anytime (Harrison/Dylan), My Sweet Lord, Wah-Wah, Isn’t it a pity Pt1, What is Life, Behind that locked door, Let it down, Run of the mill, Beware of darkness, Apple scruffs, Ballad of Sir Frankie Crisp, Awaiting on you all, All things must pass, I dig love, Art of Dying, Isn’t it a pity Pt2, Hear me Lord, Apple Jam 1, Apple Jam 2, Bangladesh, Deep Blue
Lennon: Instant Karma, Mother, Hold on, I found out, Working class hero, Isolation, Remember, Love, Well well well, Look at me, God, My mummy’s dead, Imagine, Crippled inside, Jealous guy, It’s so hard, I don’t wanna, Gimme some truth, Oh my love, How do you sleep, How, Oh yoko, Power to the people, Xmas War is over
McCartney: The lovely Linda, That would be something, Valentine day, Every night, Hot as sun, Junk, Man we was lonely, Oo You, Momma miss america, Teddy boy, Singalong junk, Maybe I’m amazed, Kreen Akore, Another day, Oh woman oh why, Too many people, 3 legs, Ram on, Dear boy, Uncle Albert admiral halsey, Smile away, Heart of the country, Monkberry moon delight, Eat at home, Long haired lady, Ram on reprise, Back seat on my car
Hard to say which had the best songs. Depends on your taste I guess.