Here is the full list of all 16 OmegaBot achievements.
Get through the Capitol City and obtain Double Jump ability
Get through the CaelFall, Castle City and obtain Dash ability
Unlock every achievment in the game.
Collect every eye in the World
Find Ewe and send her to the flying shop
Find Albuch, royal architect and send him to the flying shop.
Get to the Flying Shop and acquire your first costume
Acquire every costume in the Flying Shop
Acquire all health upgrades from the Flying Shop
Acquire all Energy upgrades from the Flying Shop