Yes, there were two Death Note movies, and another based on the "L" character, who was portrayed by Kenichi Matsuyama -- a legit actor who was breaking big at the time of DN.
However, in terms of story arcs I don't think so, but Japan is no stranger to ongoing series of films. The Zatoichi movies, Waru, Minami Oo, Otoko ha Tsurai series -- dozens of each.