When the bear stands up, shoot it in the mouth. 

The Cougar, use the 357 mag and stay in hunter sense mode. 
Shoot it when it comes out of the brush. 
Keep this up until you kill it. 

Leopard, use 357 mag, I kill it when I dodge it and then shoot it. 

Wild boar, use 357 mag, keep shooting until you kill it. 
Sometimes after you dodge it and sometimes when you shoot straight on. 

Lion, use 357 mag also. When you go into cave turn left and go to the other exit. 
Crouch, go outside 3 steps, stand and shoot it in side just behind shoulder. 
If it turns on you shoot straight on. 
The first shot behind the shoulders could kill it. 

The 357 works 4 times as good for me on these animals as rifles do. 
When you are killed by one of these - be sure to change back to 357, 
because that will be changed back to the 22-250 rifle.