Mine -

America
Sweet Caroline
Cherry Cherry
Yesterday's Songs
Love on the Rocks

Solitary Man
Desir'ee
America
Forever In Blue Jeans
Love On the Rocks
Song Sung Blue
Hello Again
Girl You'll Be a Woman Soon
September Morn'
Thank the Lord for the Night Time
I am... I Said
Play Me
Sweet Caroline
You Don't Bring Me Flowers (With Barbra Streisand)
Cracklin' Rosie

My favorites by Neil Diamond-You Got to Me,Solitary Man,Kentucky Woman,Shiloh,Play Me,Girl,You'll Be a Woman Soon,Song Sung Blue,America,September Morn,Brother Love's Traveling Salvation Show,Hello Again,

Coming To America
Sweet Caroline
Song Sung Blue
Brooklyn Roads
Cracklin' Rose

- I Am...I Said
- Love On The Rocks
- September Morn
- Sweet Caroline
- You Don't Bring Me Flowers (w/ Barbra Streisand)

I also really dig You Got To Me and Forever in Blue Jeans.

September Morn
Holly Holy
I Am, I Said

and that's all I can think of off the top of my head.