Wasn't sure if you meant songs from when The birthday celebrant was young, growing up, etc, or songs about young, growing up, etc. I chose the latter:
"How Much is That Doggy In the Window" Patti Page (1952)
"Let's Go Fly a Kite" various cast members from Mary Poppins soundtrack (1964)
"Supercalifragilisticexpialidocious" Julie Andrews/Dick Van Dyke & cast, Mary Poppins (1964)
"Sweet and Innocent" was Donny Osmond's remake of Roy Orbison's song, from Osmonds (1971)
- or - "Puppy Love" Paul Anka (1960) or Donny Osmond (1972)
"Charlie Brown" by The Coasters (1959)
"I Think We're Alone Now" by Tommy James & the Shondells (1967)
"You're Sixteen" Ringo Starr's 1973 cover of Johnny Burnette's 1960 classic went to #1 from Ringo
"Summertime" by Billie Holiday (1936)
"In The Mood" by Glenn Miller (1940)
"Love Somebody" by Doris Day & Buddy Clark (1947)
"Ballad of the Green Beret" SSgt Barry Sadler
"Bill Bailey, Won't You Please Come Home" Patsy Cline - or - Ella Fitzgerald - or - Louis Armstrong
"People Will Say We're In Love" from Rogers & Hammerstein's Oklahoma (1943)
"Love and Marriage" by Frank Sinatra, 1955
"Love Will Keep Us Together" The Captain and Tennille's 1975 version of Neil Sedaka's somg.
"Piano Man" from Billy Joel's Piano Man (1973)
"When I'm Sixty-Four" fom The Beatles' Sgt. Pepper (1967)
"Those Were the Days" by Mary Hopkin (1968)
"How Much is That Doggy In the Window" Patti Page (1952)
"Let's Go Fly a Kite" various cast members from Mary Poppins soundtrack (1964)
"Supercalifragilisticexpialidocious" Julie Andrews/Dick Van Dyke & cast, Mary Poppins (1964)
"Sweet and Innocent" was Donny Osmond's remake of Roy Orbison's song, from Osmonds (1971)
- or - "Puppy Love" Paul Anka (1960) or Donny Osmond (1972)
"Charlie Brown" by The Coasters (1959)
"I Think We're Alone Now" by Tommy James & the Shondells (1967)
"You're Sixteen" Ringo Starr's 1973 cover of Johnny Burnette's 1960 classic went to #1 from Ringo
"Summertime" by Billie Holiday (1936)
"In The Mood" by Glenn Miller (1940)
"Love Somebody" by Doris Day & Buddy Clark (1947)
"Ballad of the Green Beret" SSgt Barry Sadler
"Bill Bailey, Won't You Please Come Home" Patsy Cline - or - Ella Fitzgerald - or - Louis Armstrong
"People Will Say We're In Love" from Rogers & Hammerstein's Oklahoma (1943)
"Love and Marriage" by Frank Sinatra, 1955
"Love Will Keep Us Together" The Captain and Tennille's 1975 version of Neil Sedaka's somg.
"Piano Man" from Billy Joel's Piano Man (1973)
"When I'm Sixty-Four" fom The Beatles' Sgt. Pepper (1967)
"Those Were the Days" by Mary Hopkin (1968)