That was a drawback for my boys. One was during summer break, the other was during Christmas break. Once they got to school age, I don't think either one of them ever had a birthday party on their actual birthday.
The first child got elaborate in-home birthday parties with games/activities/decorations. Haven’t done a party for anyone since the oldest was about 10. Mom fail. I was going to do a painting party for the 7yr old at Creative Spirits here in town but the minimum was $250/10 kids. Too much for me.