LA Museums I've brought a toddler to in the past year

By Approximate Proximity to Santa Monica:
Santa Monica Museum of Art
Santa Monica Pier Aquarium
Hammer Museum
Fowler Museum
Museum of Jurassic Technology*
Getty Center
Getty Villa
Skirball Center*
Zimmer Children's Museum
LACMA*
Craft and Folk Art Museum
Page Museum at the La Brea Tar Pits*
Natural History Museum of Los Angeles County
California Science Center*
Griffith Observatory*
Los Angeles Zoo
Japanese-American National Museum

Chinese-American Museum

LA Plaza de Cultura y Artes

Huntington Library and Gardens*
Kidspace

* - multiple visits