Wepper is also remembered for his roles in the films Cabaret (1972) and The Bridge (1959) and as Mayor Wöller in the TV series Um Himmels Willen (2002–2021).

In 1972, he played Fritz Wendel, a German Jew passing as a Christian, in the Oscar-winning film version of Cabaret.

Wepper's Wendel marries Marisa Berenson's character, a wealthy Jewish heiress, as Nazi power grows inexorably in Europe.

His character Harry Klein, the assistant in the long-running crime series Derrick, became a cult figure all over the world.

Wepper made headlines in the yellow press when he left von Morgen for the far younger Susanne Kellermann (born 1974) in 2009.