California bay leaf (Umbellularia californica, Lauraceae) have a stronger flavour thant the Mediterranean bay laurel.
Indian bay leaf or malabathrum (Cinnamomum tamala, Lauraceae) Longer and wider than the Mediteranian, taste similar to cinnamon (cassia) bark, but milder.
Indonesian bay leaf or Indonesian laurel, Daun Salam (Syzygium polyanthum, Myrtaceae)
West Indian bay leaf, the leaf of the West Indian bay tree (Pimenta racemosa, Myrtaceae)