Designated Hero/Designated Villain: Oggy and the cockroaches end up doing some nasty, sometimes even reprehensible, things to each other that it is difficult for them to retain the audience's sympathy.
Dub Text: In "The Kitchen Boy", Oggy grates up the cockroaches' bottoms into Olivia's pasta dish. The scene of them angrily marching off with their naked butts visible is cut in some broadcasts, leading viewers to believe that he grated them up completely (which is arguably worse than showing rear nudity).
Fridge Horror: One episode has Oggy and Jack delivering a small box which apparently contains an endless amount of spiders. Who ordered that box and why do they want it? That is, assuming they aren't an arachnologist.
Germans Love David Hasselhoff: The show is particularly well-remembered in Italy. It aired in contemporary with France and is currently being re-broadcasted. It also appears to have a rather large following in parts of south east Asia, notably Indonesia, Malaysia and the Philippines, although the rampant Adored by the Network situation ended up causing a bit of Hype Backlash, especially in Malaysia.
Hype Backlash: Astro's action to have the show air on all of the big three networks in Asia has resulted in Nickelodeon Asia taking an epic dose of this. People who dislike the show's slapstick humor or are just tired of the show came out in droves to blast Nickelodeon when they announced that they have became the third network to air the show in Asia. Understandably, this, along with the controversy Nickelodeon took for airing the show in the US, resulted in Nickelodeon Asia stop plugging the show and quickly changing to plugging Alvinnn!!! instead.
Moe: Oggy, to an extent, mostly because of his personality. Olivia also counts.
Older Than They Think: It was heavily (and loudly) advertised as a new show leading up to its rerun span on Nickelodeon and Nicktoons Network in 2015. Several viewers who had not heard of it before, either due to being too young during its initial airing or simply having it fly under their radar, thought that it actually was a new Nicktoon, when really it's been on since the late 1990s (both in France and overseas).
What an Idiot: In the episode “Saturday Black Fever”, Oggy was saving his money in his house, instead of using a bank for it. In the end, Joey accidentally triggers a explosion which destroys the entire house, as well his money.
The Woobie: Poor Oggy is always getting tormented and screwed over by the roach trio, even if he did nothing to annoy them. How much abuse he gets really makes you want to give him a hug.