I think I may have figured out some of the animal sounds used for the dinosaurs on Warpath: Jurassic Park.
Acrocanthosaurus: Donkey/Tiger/Elephant
Giganotosaurus: ???
Stygimoloch: Elk/Goat/Llama/Cougar
Suchomimus: Tiger/Crocodilian/Slowed-down pig squeals
Ankylosaurus: Bull/Hippo/Camel groan for victory
Styracosaurus: Walrus/Moose/Rhino/Cow
Carcharodontosaurus: Siberian Tiger
Pachycephalosaurus: Jaguar/Baby Jaguar/Cougar/Leopard
Spinosaurus: Wild Boar/Hyena/Slowed-down pig squeals
Cryolophosaurus: Lion/Leopard at the beginning of victory
Triceratops: Possibly grizzly bear and elephant
Albertosaurus: ???
If you know what others might have been used, feel free to let me know!