No weird traditions here, either, although there's at least one Mexican restaurant in the area where, if you tell them someone at your table has a birthday, they come at dessert time and put a huge oversized sombrero on the person's head and sing "Happy Birthday" in Spanish while presenting a piece of cake with a candle.

Once every seven years my birthday falls on Thanksgiving... So that is always a twofer.

I also have the Thanksgiving Curse, every few years, but otherwise nothing out of the ordinary.

Had a nice day , slept okay, got up and went to a farmers market and picked up some golden beets and baked goods from a long time friend.
Came home and had baked goods for breakfast and then went for a 6.5km walk with Ruby. 64F ( 17C ) and sunny.
Got home and dragged one of my lathes out on the driveway and finished the second of two boxes I started on Wednesday. I do this periodically when the weather is nice, and the mosquito population is down. I roasted the beets and had some on my salad for dinner.
Not a bad day.

the Thanksgiving Curse

Val has that one too. It can often make the celebration weird.
My brother was born on the 3rd of July, and our folks always celebrated his birthday on the 4th. It took him a while to figure out the big party, cookout and fireworks weren't just for him, which was kinda weird.
Granny's birthday was right after Christmas. Also weird.
My birthday falls on the end of the fiscal year. Did a lot of birthday drinking with accountants over the years.
People think accountants are boring but hoowee boy! Some were so much fun they probably should have been illegal.
Hell, I even married one. She's a hoot, as they used to say. As hot as a pistol. A kick in the pants. The cat's pajamas. The bee's knees. Cool beans.

Accounting. The only truly exact science.

A cousin of mine was born on Christmas day. She was named Merry Ann. Yes, that is spelled correctly.

HS friend was born on Christmas... said he was the best Christmas gift his mother ever got 😏

when I worked in the financial reporting industry, my birthday was at/near the end of the annual reporting period 😵‍💫 by the time the next paycheck arrived with some fat overtime in it, I was usually recovered enough to enjoy it

w/r/t the original question—I'm in Florida—what's not quirky?

Checking in. No weird traditions in my family or area for birthdays.

I used to have a personal Birthday Tradition, which started when I became legally able to drink, to have an Irish Coffee on my birthday. These days that's not possible, so we do wine instead. I don't do birthday cakes and ice cream as we did when I was a child... or even a dinner out or a Feast like we used to do.

This year and the last few my trad is to have a Greek Style Spinach and Cheese filo based pie that I bake from frozen as part of our dinner.