Alternative Joke Interpretation: There's a joke about one of Psychoanalytix's patients standing in an odd pose with the druid commenting "No one knows who this man thinks he is." The joke is that he's impersonating Napoleon (who hasn't been born yet) but viewers who themselves don't know would probably just see it as funny for that same reason.
Esoteric Happy Ending: In the album, Vitalstatistix wins the fight against Ceramix and convinces the Gauls of his village to return to their Gaulish ways. However, as any student of history knows, the rest of Gaul will continue to adopt Roman ways and become increasingly Gallo-Roman, resulting in the Gaulish language being supplanted by Vulgar Latin and various Germanic languages from around the 5th century CE onwards, with the language going extinct some time around the late 6th century.
The Woobie: It's hard not to feel bad for the Roman legionary who's used as guinea pig for Getafix's random potions in the villagers' attempt to have the latter recover his memory and recreate the Super-Strength-granting magic potion.
Sequelitis: Asterix and the Big Fight is usually considered among the weakest of the franchise's animated entries, tied with Asterix the Gaul (1967) and Asterix Conquers America (1994). In this case, the main criticisms are that it goes too far into Denser and Wackier territory, that the two source stories mesh together poorly — unlike Asterix Versus Caesar, whose sourcestories were much more thematically similar — along with the additional issues created by the U.S. dub's clunky pop culture references and general lack of faithfulness to the series.