Yes, I like my birthday.
When I read the thread title, I thought it was going to be a discussion about whether or not you like having your birthday on the specific day each year it occurs. For example, my birthday is August 10th, and I love that it occurs on August 10, rather than some other specific day in some different month.
The first reason is due to weather. I've always lived in the United States, so on August 10th, it's the summertime, and there's never any snow or cold weather to deal with. I hate snow and cold weather -- and love warm weather and being able to spend lots of time outside -- so knowing that my birthday will always be warm, and will include a good chance to spend time outside that day, that gives me more reason to look forward to each birthday.
Second, when I was growing up, I hated school, but since there was never any school in July and August, my birthday never fell on a school day. This made it much easier for me and my family to have a full day where I could be pretty much anywhere I wanted at any time on my birthday. I sort of felt sorry for classmates who had their birthday on a school day, as they couldn't spend the entire day doing what they wanted.
Finally, I also like the fact that August 10 is an even-numbered day {10} in an even-numbered month {8}. I like even-ness for any particular days, months, and years, as well as ages. This makes me very glad to know that I'll always have an even day/month situation on my birthday.
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DSM-5 Diagnosis: Autism Spectrum Disorder, Without accompanying intellectual or language impairment, Level 1.