Iceglow has it right. Dino Crisis 2 is criminally underrated. While the original Dino Crisis was pretty much a Resident Evil clone Dino Crisis 2 at least distinguished itself by playing more like a shooter. And I remember it having little to no laboratories too instead opting for a more Jurassic Park like setting. And theres a good variety of dinosaurs, not just your typical T-rex's and raptors. Dino Crisis 2 is one of the best third person shooters ever made. Wonder why people ignore it so much.

There is also Dino Stalker for the PS2 which is alright for an on-rails shooter.