Well the whole "story" of this game would be to survive. You play as a dinosaur and see it's daily live and fight to survive. It should be something like a "simulation & survival" game.
But you can also put tasks in the game like
- "conquer" the territory of the rivalry compy pack.
- try to kill a full grown Brachiosaurus as a T-Rex
- try to catch a flying pterosaur as Dilophosaurus etc...
The alpha raptor idea is also nice but you have to fight your way to this status.
Edit: During the first Jurassic Park film all dinosaurs went free.