graphic symbols vs movieclip symbols
Maybe I'm misunderstanding what you're asking but since there's two methods in Animate one from an Animator's point of view and one from a Programmer's point of view I'll explain how to do this an animator's way as well. You CAN actually have some layers animate just once and stop while others loop by simply using Graphic symbols instead of Movie Clips. You can achieve this by creating some art inside a graphic symbol (F8) and dragging that newly created symbol from the Library (Windows>Library) to the stage and then setting it to either Play Once or Loop using the Properties panel which can be found under Windows>Properties in the File Menu. I attached tan example. the Left symbol rotates once and stops because I told it to Play Once and the second one loops because... well I told it to using the Properties panel.