Another year has passed and that means it's my birthday again. I don't really celebrate my birthday, but I'll be taking a trip to the sea with my girl. I'm looking forward to that. The ancient Hellenes did not celebrate their birthdays either. Families celebrated the birth of a child, a coming-of-age feast, and feasts after death held on the anniversary of the day of birth (or death, depending on the scholar), but otherwise there were no annual birthday ceremonials. The birthdays of many of the Theoi were ritually acknowledged once a month, but the individual did not celebrate theirs. Herodotos notes this in his Histories, when he describes the birthday practices of the Persians.

"Of all the days in the year, the one which they celebrate most is their birthday. It is customary to have the board furnished on that day with an ampler supply than common. The richer Persians cause an ox, a horse, a camel, and an ass to be baked whole and so served up to them: the poorer classes use instead the smaller kinds of cattle. They eat little solid food but abundance of dessert, which is set on table a few dishes at a time; this it is which makes them say that "the Greeks, when they eat, leave off hungry, having nothing worth mention served up to them after the meats; whereas, if they had more put before them, they would not stop eating." They are very fond of wine, and drink it in large quantities. To vomit or obey natural calls in the presence of another is forbidden among them. Such are their customs in these matters." [133]

This, of course, changed with the Romans--especially the Emperors--but the ancient Hellenes found the birthdays of the Gods much more important. So, for today, let me suffice with Philostratus, Letters 51, to Kleonide.

“Sappho adores the rose and always adorns the flower with praise, even comparing beautiful girls to it. And she also likens it to the arms of the Graces when they are bare up to the elbows.

The rose, even if it is the most beautiful of the flowers, has but a brief season—for it follows other flowers which blossom in the spring.

But your charm is always in bloom—this is how the autumn of your beauty still smiles like the spring in your eyes and on your cheeks.”

Source.