My favorite Animal is the Horse , it is a beautiful animal . It has four legs , a long hair , and a long tail .

Don’t add a space before your punctuation. Only after. The word “a” before a noun implies the noun is singular. Since there are multiple hairs, “a” is not needed.

There is no specific place for this animal ;, but it is famous in Arab ariaeas, and in Europe.

Because you used the conjunction, “but,” you would use a comma instead of a semi colon. If you take out the word “but” the semicolon would be correct. I believe in the word “aria” you meant “area.” Since there are multiple Arab areas make sure you add an s to the end to make it plural.

The horse can run very fast and can also pull heavy weights .

Punctuation mark doesn’t need a space before it.

The Horse is an amazing animal.

Since this is a complete thought, and the end of a sentence, add a period.