Defeating the Demon Jaguar
If he enters into a rage (running, leaping at you non-stop, giving you no chance), keep on super running either left or right until he finally stops. When he does, kick him very quickly. Repeat this process to destroy him. This works about every four or five times. If it does not work, start running behind him in circles when he runs in circles. Try to cut him off and kick him.
Defeating the Mouth Of Inti Boss
Use the Fountain if required. Walk over to the edge of the cliffs.
Defeating Jonathan St. Claire
Equip your slingshot and avoid the dynamite that is thrown at you when you run out of cover from the pillars. Use your sling shot and keep hitting the four support beams on the front of that platform he is standing on. Hit each one about ten times to make them break. Use your slingshot on the parachute to get Nicole down from the tree.
Entering the Monkey Temple level
On each of the opposite ends of the closed door, there is a picture of a monkey inside a ring of fire. Light the bowls in front of the pictures to enter the Monkey Temple.
Getting past the Plane Cockpit level
Swing on the first vine then to the next one. When you are swinging on the second vine, look ahead for an opening on top of the plane. Jump onto the top of the plane, roll, and sweep kick the glass. Then, continue rolling in. After the scene, jump kick the cracked glass in front of you to continue to the Native Jungle.