Another can mean 'an additional'. It is used with singular countable nouns.
Could I have another piece of bread?
Another can be used as a pronoun without a noun, or with one.
Those cakes are wonderful. Could I have another (one)?
With uncountable and plural nouns, we normally use 'more'.
Would you like some more meat?
Another can also mean 'alternative'.
I think we should paint it another colour.
If 'other' is used with a noun it has no plural form.
If it is used alone, it can have a plural form.
Tell the other people.
Tell the others.