Cheetahs

  1. Cheetahs are faster than any other animal.
  2. Cheetahs are faster than any other animals.
    Which one is correct?
    Thanks.

‘… any other animal’ is usual, (any other type of animal), though neither is incorrect.

Beeesneees,

  1. Your opinion is more important than any other opinion.
  2. Your opinion is more important than any other opinions.
    Which one is correct?
    Thanks.

‘Opinion’ is uncountable when speaking about the beliefs or views of a group of people.
It is countable when speaking about the beliefs and thoughts of an individual.

Therefore, the answer is as above.

Balance would suggest either -

Cheetahs are faster than any other animals

A/the cheetah is faster than any other animal.