Lady Gaga
Bad Romance
Just Dance
Marry the Night
Alejandro
Lovegame
Government Hooker
Monster
Paparazzi
Poker Face
Telephone
Scheisse
So Happy I Could Die
Bloody Mary
Heavy Metal Lover
Aura
Venus
GUY
Sexxx Dreams
Do what you want
Donatella
Mary Jane Holland
Gypsy
= 22 songs
Lana Del Rey
Born to Die
Off to the Races
Blue Jeans
Video Games
Diet Mountain Dew
National Anthem
Radio
Carmen
Summertime Sadness
This is what makes us girls
Lolita
Ride
American
Cruel World
Shades of Cool
Brooklyn Baby
West Coast
Sad Girl
Old Money
= 19 songs
I listen more to Lady Gaga, because she has more up tempo songs. She's fantastic to "gay out" in the club as well. She has an awesome voice, something many pop girls don't. But, she's more of a conventional pop artist. If she'd disappear, a few others could fill in her place quite adequately.
On the other hand Lana del Rey puts out music none of the other pop girls do. Born to Die (Paradise) as an album shits on a great height from whatever magnum opus people consider Lady Gaga's to be. Beautiful female voice, a knack for orchestral music, and modern triphop beats. Off to the Races is a GOAT song if I ever knew one. However, Lana is more of an unproven project at this point. Ultraviolence has some good stuff on it, but already is less up my alley then her debut. It's a mystery if I will like whatever she puts out in the future, while I'm fairly sure Gaga will always have the occasional club banger ready, if she decides to drop the Jazz schtick.
I'll go with Lana, but I hesitated.