I am not entirely sure what you mean. If the pronoun stands in for the subject of the sentence, then it will be placed first (usually). If the pronoun is a direct object, it will be placed after the verb. If the pronoun is an indirect object, it will be placed after the direct object; etc. Is this what you're referring to? The pronouns on their own, don't really have a particular sequence unless they are put into a sentence.
If you would like to give an example that you are having difficulty with, please show me and I'll try to help you.
*Update* Seeing your update, all of the pronouns are subject pronouns, but the order doesn't really matter here much except that you would put "I" last.
She, he and I ; He, she and I ; She, you and I ; You, she and I ; etc.
All of these sound correct to me, but I have no grammatical explanation for it. It's just based on the feeling and sound of it to me. Whether there is necessarily a "correct" order, I'm not sure. I've just always heard "I" being used last, at least. Perhaps others can back this up for me too.