Answered by Shaykh Amjad Rasheed
Is it permissible to celebrate birthdays while not doing any of the actions of the non-Muslims?
There is no problem with annually celebrating the day that corresponds to one’s birthday, on the condition that the celebration does not include what the Sacred Law warns of. Some examples are: playing forbidden musical instruments like Kuba1, uncovering the nakedness in the presence of those whose seeing one is impermissible, drinking wine, and the presence of statues of creatures with souls, etc.
– Amjad Rasheed
(Translated by Sister Lida Kahi)
1 Kuba, also known as Tabla is a long drum with a narrow middle.