The only games I've played involving hunting dinosaurs, and yes, feel free to laugh, are:
*Carnivores (PC)
*Carnivores 2 (PC)
*Carnivores Ice Age (PC) ((I think thats what it was called, same game with mammoths and cave bears))
*Jurassic Park, Operation Genesis (PC, PS2) ((Only when the dinosaurs escaped, and on special missions))
*Turok: Evolution (PS2)
*Turok (PS3)
*Trespasser (PC) ((This one terrified me, it's over 10 years old now, and has a Metacritic score of 3.9 I played it soley for the dinos)
Unfortunantly...none of these were great games. I am saddened, but my nerdiness still knows no bounds.