You can pass an ArrayList the same way, if the E type is Serializable.
You would call the putExtra (String name, Serializable value) of Intent to store, and getSerializableExtra (String name) for retrieval.
Example:
ArrayList<String> myList = new ArrayList<String>();
intent.putExtra("mylist", myList);
In the other Activity:
ArrayList<String> myList = (ArrayList<String>) getIntent().getSerializableExtra("mylist");