When playing as a carnivore, being successful at your first hunt.
Living long enough to make it to the next growth stage.
Successfully using the Raptor-Prey-Restraint to kill anything. It's very satisfying to utterly wreck an animal that can kill you in one hit.
In earlier versions, as a Dakotaraptor, it was actually possible to kill a Tyrannosaurus if being very patient, due to a lot of damage that Dakotaraptor could inflict in earlier points of development, proving that even the most feared dinosaur can still be beaten.
Being able to kill crocodilians by trampling them as a Triceratops. Especially satisfying since they are always a threat as a Dakotaraptor, but only a nuisance for non-hatchling Triceratops. Heck, trampling anything as a Triceratops. It's one thing to see the Temper-Ceratops trope in movies, but actually getting to role-play it first-hand is something else entirely.