Rodgers and Hammerstein
Rodgers and Hart

Bali Ha’i
Bloody Mary
Carousel Waltz *
Climb Every Mountain
A Cock-eyed Optimist
Do Re Mi
Edelweiss *
Getting To Know You
Happy Talk
Hello Young Lovers *
Honey Bun
How Do You Solve a Problem Like Maria?
I Enjoy Being a Girl
I Have Dreamed
I Whistle a Happy Tune
If I Loved You
I'm Gonna Wash That Man Right Outa My Hair
I’m In Love With A Wonderful Guy *
It Might As Well Be Spring
It's a Grand Night For Singing *
June Is Busting Out All Over
Lonely Goatherd
March of the Siamese Children
My Favorite Things *
Oh What A Beautiful Morning *
Out of My Dreams *
People Will Say We’re In Love
Shall We Dance?
Sixteen Going On Seventeen
So Long, Farewell
Some Enchanted Evening
Something Good
Something Wonderful
The Sound Of Music
Surrey With the Fringe On Top
Ten Minutes Ago *
There Is Nothing Like a Dame
We Kiss In a Shadow
You’ll Never Walk Alone
Younger Than Springtime

Also by Richard Rodgers:
Do I Hear a Waltz? *    (with Stephen Sondheim)
The Sweetest Sounds    (Solo project)

Here's a quote from "'Somewhere For Me: A Biography of Richard Rodgers' by Meryle Secrest ":

It was a new beginning for Rodgers and, at some psychological level, an end. "You know what you ought to do next?" Sam Goldwyn suggested. "Shoot yourself!" Even though he duplicated his success many times over -- "Carousel," "State Fair," "South Pacific," "The King and I," the viscous and eternal "Sound of Music" -- the fear of failure grew more crippling with each show. "I get a very peculiar feeling," his daughter Mary said, "that gradually over the years he changed from someone who had a wonderful time to somebody who had a terrible time." He made it tough on other people, too, drinking freely, browbeating his collaborators, mortifying his wife with tawdry affairs. Stephen Sondheim once quipped that Hammerstein was a man of limited talent and infinite soul and that Rodgers was the reverse, and on the evidence this is hard to dispute.