Defictionalization: There are real, voice-activated "boîtes à coucou" (Cuckoo Boxes) toys inspired by Johnny Hallyday's in the show.
Follow the Leader: Les Guignols could be considered a French version of Spitting Image. Probably inspired others, such as caricaturist Serge Chapleau in Québec, who created Et Dieu Créa Laflaque ("And God Created Laflaque"), which follows a similar formula of making fun of events in the news, talking to exaggerated versions of political and cultural faces.
The show had a localized version in the Spanish station of Canal+ (Las Noticias del Guiñol) and its influence can be seen in later Spanish sketch programs like TVE's La Hora de José Mota and TV3's Polònia, even though the parodies are done this time by human actors.
Prop Recycling: The French and Spanish versions share puppets, and the puppets of people who are not famous in one country are sometimes recycled as average, non-famous citizens in the other. This can be bizarre if you watch either version while being familiar with the other, because the host puppet (PPD in Les Guignols, Hilario Pino◊ in Los Guiñoles) is particularly prone to this.
Talking to Himself: Around 30 actors voice over 300 characters, so this is bound to happen. Most notable with the Sylvestres.