Here's a handy database of singles, EPs, and albums released by Elvis Presley in 1959, along with their catalog numbers. You can also find out what else Elvis was up to in 1959 and in all the years of his life.

Singles:

March 16: "(Now And Then There's) A Fool Such As I" b/w "I Need Your Love Tonight" (RCA Victor 47-7506)
June 29: "A Big Hunk O' Love" b/w "My Wish Came True" (RCA Victor 47-7600)

EPs:

April:
A Touch Of Gold, Volume 1 (RCA EPA 5088):
Side 1:
"Hard Headed Woman"
"Good Rockin' Tonight"
Side 2:
"Don't"
"I Beg Of You"


October:

A Touch Of Gold, Volume 2 (RCA EPA 5101):
Side 1:
"Wear My Ring Around Your Neck"
"Treat Me Nice"
Side 2:
"One Night"
"That's All Right (Mama)"

Albums:

February:
For LP Fans Only (RCA LPM 1990):
Side 1:
"That's All Right (Mama)"
"Lawdy Miss Clawdy"
"Mystery Train"
"Playing For Keeps"
"Poor Boy"
Side 2:
"My Baby Left Me"
"I Was The One"
"Shake Rattle And Roll"
"I'm Left, You're Right, She's Gone"
"You're A Heartbreaker"

August:

A Date With Elvis (RCA LPM 2011):
Side 1:
"Blue Moon Of Kentucky"
"Young and Beautiful"
"(You're So Square) Baby I Don't Care"
"Milkcow Blues Boogie"
"Baby, Let's Play House"
Side 2:
"Good Rockin' Tonight"
"Is It So Strange"
"We're Gonna Move"
"I Want To Be Free"
"I Forgot To Remember To Forget"

December:

50,000,000 Elvis Fans Can't Be Wrong: Elvis' Golden Records Vol. 2 (RCA LPM 2075):
Side 1:
"I Need Your Love Tonight"
"Don't"
"Wear My Ring Around Your Neck"
"My Wish Came True"
"I Got Stung"
Side 2:
"One Night"
"A Big Hunk O' Love"
"I Beg Of You"
"(Now And Then There's A) Fool Such As I"
"Doncha Think It's Time"