All of Justin Bieber's songs? (Even the unofficial ones)

Baby
Baby featuring Ludacris
Baby (Acoustic Version)
Baby (Justin Bieber's rap)
Baby's Love Story In My Head
Big Brown Eyes
Bigger
Born To Be Somebody
Can't Live Without You
Come Home To Me
Come Home To Me featuring Ernie Halter
Common Denominator
Digital
Down To Earth
Dr. Bieber
Eenie Meenie featuring Sean Kingston
Favorite Girl
First Dance
Girlfriend
Heartache
Kiss & Tell
Kiss N Tell
Latin Girl
Love Me
Mama's Boy
Mother Load
Never Let You Go
Never Say Never featuring Jaden Smith
Next 2 You featuring Chris Brown
Omaha Mall featuring Ryan Good and Kenny Hamilton
One Less Lonely (French)
One Less Lonely Girl
One Love
One Time
Overboard featuring Jessica Jarrell.
Overboard Live Version
Pick Me
Pray
Pretty Boy Swag
Rain Time
Rich Girl featuring Soulja Boy
Ride
Runaway Love
Runaway Love featuring Kanye West
Saturday Night Live
Second Chance
Set A Place At Your Table
Shawty Lets Go featuring Sean Kingston
Somebody To Love
Somebody To Love featuring Usher
Speaking In Tongues
Speechless
Stuck In The Moment
Swag's Mean
Tell Me
That Should Be Me
That Should Be Me featuring Rascal Flatts
This Dream Is Too Good
U Smile
U Smile (Live Version) featuring Boys II Men
Up 
Up featuring Chris Brown
Where Are You Now
Won't Stop featuring Sean Kingston
You Leave Me Breathless With Your Words
You Should Pick Me
You Smile

Justin Bieber made 31 songs in just 2010. And his albums are

My World - His first album he made
My World 2.0 - His second album he made
My World Acoustic - The third album he made
Never Say Never Remixes - Was the last one he made 
He is currently in the making of making a new album called "Believe" and it will be in stores on November 14th 2011.