As I have anemia I can't use Aspirin. I do keep a bottle of 81mg Aspirin in my home and in my car just in case my heart attacks me (hasn't happened yet, but I'm old), as it is recommended to chew 2 of them asap if a person is feeling the symptoms of a heart attack, as a "clot buster". Aspirin is associated with internal bleeding so not recommended for casual use if that's an issue.
If I have a headache I take a 500mg Tylenol/Acetaminophen capsule, which is usually effective. Far less likely to cause internal bleeding (even less likely to cause bleeding as compared to Advil/Ibuprofen), but Tylenol can damage your liver with even a mild overdose, so I make sure to not exceed the dosage directions on the package.