Well, they don't have the same *exact* meaning, but song, melody, or even hymn or carol could be appropriate based on the lullaby. Here is a helpful page from thesaurus.com: http://thesaurus.reference.com/browse/lullaby There isn't actually an entry for lullaby, but that page has some helpful options because it goes over the root word, and some fairly close synonyms.
Renesmee's lullaby
Nocturne - APEX
Nocturne
rhyme
LUCY LULLABY
Usually Brahm's "Lullaby"
Mune Ni Himeta Omoi
Lullaby of the Earth was created in 1970 by Japanese composer Isao Tomita. The piece was inspired by Japanese poet Kenji Miyazawa's poem of the same name.
Pantoum
goodbye lullaby by avril lavigne
Bella's lullaby
The use of end rhyme