Since the goals thus far are matching identically to the last raid boss, I figured I would risk putting it all out there now, updated with the prizes thus far. I would suggest that you verify the goals along the way, but I don't anticipate any surprises... Wait, this is GREE, so perhaps there will be.
If a piece of information is missing, please add it here and I will update the table accordingly. Please note that the * indicates a streak goal in Elite mode (presumably...).
NOTE: Table updated to include the new boss health and added prizes (thanks Sleazy Martini)
Tilda Bracket's Gang Raid Boss Goal and Prize List