Since the 2000s, increased aircraft noise annoyance has been observed in the populations living near airports. The DEBATS-study compared the exposure–response relationship estimated among airports’ residents in France with old and new EU standard curves. It also examines whether non-acoustical factors may explain this annoyance. For 1244 adults living near three French airports, information about demographic and socio-economic factors as well as aircraft noise annoyance, situational, personal and attitudinal factors was collected with a face-to-face questionnaire. Outdoor aircraft noise exposure was estimated by linking home address to noise exposure maps. Logistic regression models were used to investigate the association between annoyance and a broad range of other variables in addition to the Lden. Severe noise annoyance was associated not only with increased aircraft noise levels, but also with non-acoustical factors. Annoyance was higher than predicted by the old EU standard curve when estimated with the model including non-acoustical factors in addition to the Lden. It was even higher when only noise exposure was considered. However, annoyance was lower in DEBATS than predicted by the new EU standard curve provided by WHO. The increase of noise annoyance does not seem to be explained by the factors already mentioned in the literature as possible explanations. However, it cannot be ruled out that methodological differences in the HA assessment may be the reason for changes in annoyance over the years. For this reason, we argue for a definition of HA derived substantially as recommended by ICBEN. The findings of the DEBATS study also confirm that taking into account non-acoustical factors such as situational, personal and attitudinal factors would improve annoyance predictions.