I would suggest watching Lee Brimelow's Flash Video Basics series of tutorials, which based on your requirements may seem to take off a bit slowly, but in the end you will have a great custom FLV player capable of being updated by simply editing a text (XML) file. Once you're done with the tutorials, you will have a custom FLV player with a playlist of videos that the user can click to watch. At that point, it is only a small bit of code needed to make the videos start from the beginning and play in order.
I'm filling a need. Without me there would be no bad examples.