Thanks for bringing this up! Now I have a new villager to try and get to move to my town. Here's the list I used, in case anyone else would like to find their birthday buddy:
I share a birthday with two villagers- Sprocket and Rooney! I was worried at first that nobody would share my birthday, and then I thought about seriously how many villagers there are ever and I stopped worrying. I'm not a twin, I'm a triplet!