I like to do micro-crochet amigurumi and flowers with lace thread. And if you're willing to learn a new craft, this cotton thread will be good for needle/shuttle tatting.
You can try looking into micro crocheting!
I'd suggest Steffi Glaves, who pulished a nice book with patterns for micro creations which can be used as pendants for earrings/necklaces.
A delicate crochet lace can also work as decoration for blouses, maybe around the collar or along the cuffs...
I tried a few times to crochet with a tiny thread, but the projects require too much attention to detail and patience for me to really enjoy. Best of luck!