There is an excellent new movie about the martyr Polycarp. It is just called Polycarp and is available here. Now it's not a perfect movie. For instance it has nothing regarding Baptism and the Lord's Supper which would have been a vital part of the Early Church's life. Overlooking that though, there is much to commend here - for the entire family. The best part about this movie is that it shows Christians struggling with how to respond to persecution and martyrdom. This is the main point of the movie and it excels in this. And because it excels in this it is a great encouragement to young and old as we contemplate the possible coming persecution even here in our own country.
If you want to read about Polycarp and his martyrdom check this out.