From Longman Dictionary of Contemporary Englishbirthday/Christmas etc greetingsbirthday/Christmas etc greetingsMESSAGEa message saying that you hope someone will be happy and healthy on their birthday, at Christmas etc → greeting
Examples from the Corpus
birthday/Christmas etc greetings• People's voices, exchanging Christmas greetings echoed on the clear air.• These days they hung on for their hundred-year-old birthday greetings from the White House.• The members wanted to visit the lady to pass on birthday greetings. 