Incorrect: My friend and me went to the movies.
Correct: My friend and I went to the movies.
Explanation:
* "I" is the subject pronoun and is used when the pronoun is performing the action of the verb (in this case, "went").
* "Me" is the object pronoun and is used when the pronoun is receiving the action of the verb.
Since "My friend and I" are the ones doing the action of going, we use the subject pronoun "I."