There is a very good discography on this fan’s website: http://www.eddyarnold.com/

I have found that these have lyrics already posted at Mudcat:
(I have boldfaced the ones that appear on his “greatest hits” albums.)

Anytime
As Usual
Cattle Call, The
Chained to a Memory (of You)
Cowpoke
Did You See My Daddy Over There?
How's the World Treating You?
I Don't Hurt Anymore
I Really Don’t Want to Know
I Wouldn't Trade the Silver in My Mother's Hair (For All the Gold in the World)
I'll Hold You in My Heart (Till I Can Hold You in My Arms)
Johnny Reb, That's Me
July, You’re a Woman
Kentucky Waltz
M-O-T-H-E-R (A Word That Means the World to Me)
Make the World Go Away
May the Good Lord Bless and Keep You
Missouri Waltz
Mister and Mississippi
Molly Darling
My Daddy Is Only a Picture
My Little Buckaroo
Nobody’s Darling but Mine
Riders in the Sky
Rockin' Alone (in an Old Rockin’ Chair)
Seven Years with the Wrong Woman
Tennessee Stud
That Wonderful Mother of Mine
That's How Much I Love You
The Kentuckian Song
The Richest Man (in the World)
The Voice in the Old Village Choir
Then You Can Tell Me Goodbye
Tie Me to Your Apron Strings Again
White Azaleas
Why Should I Cry over You?
You Belong to Me
You Don't Know Me

I plan to add more in this thread.