For size:
* As tiny as a grain of sand
* As tiny as a speck of dust
* As tiny as a poppy seed
* As tiny as a pinprick
* As tiny as a pebble
* As tiny as a fly's wing
* As tiny as a bead
For insignificance:
* As tiny as a whisper in the wind
* As tiny as a drop in the ocean
* As tiny as a needle in a haystack
* As tiny as a star in the vastness of space
For delicacy:
* As tiny as a butterfly's wing
* As tiny as a newborn bird's feather
* As tiny as a flower bud
For fragility:
* As tiny as a spider's web
* As tiny as a soap bubble
* As tiny as a baby's breath
The best simile will depend on the context and the specific thing you are trying to describe.