Synthesis a drop item

[Bloodberry]

Everyone knows Sniper's rings made by Leathercraft with Archer Rings or Winged boots also with Leathercraft. But my question is now, is possible synthesis every drop item? If yes is there a secret recipe list :) ? Because it would be really cool upgrade some Gods stuffs or Weapons.

[Pai Pai Master]

http://www.ffrecipe.com/?lang=en

You'll find a pretty comprehensive database of crafting recipes there. Knock yourself out.