Who makes the best coconut cake on the Westside?
Buttercake Bakery makes a wonderful coconut layer cake, as well as cupcakes.
Babalu in Santa Monica makes an Italian wedding cake with coconut and nuts that's pretty special.
If weho is okay, Asia de Cuba makes a lovely coconut cake - you might ask if you can buy a whole one.
Also farther east, Sweet Lady Jane is often recommended.