A birthday event is a celebration of the anniversary of one's birth. It typically involves a gathering of family and friends, and often includes activities such as cake, presents, and games. The two crossword solutions for the term 'birthday event' are 'LABOR' and 'PARTY'. LABOR refers to the act of giving birth, which is the beginning of a person's life and the start of their birthday celebrations. PARTY is a gathering of people to celebrate a special occasion, such as a birthday.