S2·E8 Distant Signals

A famous director is surprised when he is approached by a mysterious investor who wants him to finish up a "Fugitive"-like series that he had done twenty years ago that was cancelled before the final episodes were shown. "Mr. Smith" wants the director to put together the old cast and finish it out, for his "foreign viewers". The star, Van Conway, is a drunk but Mr. Smith mysteriously manages to sober him up. They finish up the series, where the viewers find out that the amnesiac lead character was being hunted by his jealous brother. Mr. Smith, satisfied at the symmetry, departs. It's left to Conway to explain what he believes is the truth: Smith is from a planet twenty light-years away. The aliens, which were part of a dual-planet system, became enraptured by the show and so sent their emissary to Earth to finish it so they could see the conclusion.