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I'd like information on the grammatical correctness or usage ( frequency ) of the the phrase 'my friends and me' in comparison to 'my friends and I'
I have the feeling that the phrase is used only in informal speech and not considered grammatically correct
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Comments  (Page 2) 
Does the 1st person needs to be placed as last position?

Yes it does. For politeness/humility/modesty purpose children are taught to write and say "you and I", "you and me", "he and I" etc. since grade school. Over time this sequence becomes automatic in both conversation and writing.
--- I and my friends like movies. I like movies. My friends like movies.
----She kissed me and my friends. She kissed me. She kissed my friends.

In these examples, the first one sounds unnatural to me - possibly for the reason
hbae explains, I'm not sure. Starting the sentence with "I and..." just sounds awkward to me. On the other hand, the second example sounds fine.
Students: We have free audio pronunciation exercises.
'Snakechasing'?

That grand old British sport...

MrP
I and my friends like movies


Maybe it's because, in the case of a subject, we instinctively put the longer one first? (along with all the good reasons hbae has given)
Moreover it's harder to pronounce "I and" than "and I", which flows more easily.
I think snakechasing will come back into its own when foxhunting is outlawed.
Students: Are you brave enough to let our tutors analyse your pronunciation?
I heard that horse hunting is being banned in the UK, or something like that, the periods are getting shorter, so many well-to-do English lords and all are now keeping their private stud farms in Normandy to be able to go hunting there.
I am not interesting in object/subject difference
but in sentences like

You are an English teacher. You may be but I dare say you do not teach English!
khoff, thank you for the simple solution on how to determine which way is correct. Very helpful and simple!
~jen
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I can