Is there a word like melomaniac but for movies or Tv series?
"Moviemaniac" is another term meaning "cinemaniac" (ref.).
There is also "filmaholic" and "movieholic" (ref.), but according to the Wiktionary, despite the disaproving "aholic" appending connoting "addiction" those two terms connote rather the idea of enthusiasm (cinephile (ref.), cineast) and not that of addiction. This is in contradiction with Urban dictionary and it seems that the usual meaning of this form (aholic) should be preserved.
However, when it comes to TV the Wiktionary falls in line with the usual sense of "aholic" and lets us know that there is "TVaholic", rarely found and connoting addiction to TV watching.