You could try some of the services that offer Aadvantage miles.
Here's the website:
https://www.aa.com/i18n/AAdvantage/e...ining/main.jsp.
DON'T shop at the AAdvantage eShopping Mall, which only rewards US customers. The other stores don't mention exclusions in the terms & conditions the way the AAdvantage eShopping Mall does.

If you have a family member / friend in the US, send a small gift.
A $20 gift (+ shipping...) at Personal Creations appears to generate 400 miles.

I haven't tried this myself.