daddypa
Lass
Lassie
Lastat
Laszlo (after the character in the movie "Real Genius")
Lathrop
Latke (after the character on the TV show Taxi)
Latte
Laughing Cow
Laughing Tree
Laurant
Laurel
Laurel And Hardy
Lauren
Lavender
Lavender Lace
Laverne and Shirley
Layla
Lazar
Lazaro
Lazarus
Lazy Cat
Lazyboy
Le Le Bomb
Lea
Leah
Leander
Leapol
Leapole
Learned Paw
Leash