Very close here. The bear would most likely win, grabbing the buffalo's neck and twisting it.
The grizzly bear would maul the crocodile on land if the crocodile tried to attack the grizzly bear. Grizzly bears have strengths to kill a crocodile, no matter what species. In water, the crocodile may win.
The grizzly bear would probably win
the grizzly would tear the golden eagle to shreds because the grizzly would get the birds foot and kill him winner grizzly bear
Gaur, bears won't mess with an adult bovid.
The grizzly bear would still win the fight because it has a larger size and stronger claws and teeth.
In water: likely the croc. On land, it would probably be a stand-off.
The two black bears would win the fight because they together weigh as much as a grizzly bear, and have bad aggressions. The grizzly bear would injure the two black bears after the two black bears killed the grizzly bear.
Depending on the size and strength of the mugger crocodile, the mugger crocodile has a better chance in water than on land. Since water buffaloes are very large and are adapted to swim in water, they are able to fight and maul a mugger crocodile with their horns if the crocodile is not careful. If the mugger crocodile and the water buffalo fought on land, the water buffalo would easily trample the mugger crocodile to death.
A tiger because it has a speed advantange
The Rhino would win. The Rhino can knock the Buffalo with his horn and Rhino are stronger than Buffalo.
The grizzly bear may win, but it would be injured. On the other hand, the lions may win, but would get themselves injured.
If you ever got into a fight with one you would know that they are pretty tough ;)