Aircraft noise is associated with a range of adverse health effects, among which noise annoyance is one of the most prevalent. Air traffic elicits stronger annoyance reactions than road or railway traffic at comparable noise levels, emphasizing the crucial role of perception. This paper explores the prediction potential of psychoacoustic noise annoyance models for predicting and understanding the complex association of noise annoyance to air vehicle flyovers. The analysis draws from data acquired in four prior laboratory listening experiments on noise annoyance involving diverse air vehicles, namely, civil jet aircraft (current and future designs), helicopters, and propeller aircraft. A total of 151 subjects participated across these studies. These studies featured acoustical stimuli based on both, synthesised and measured sound signals that were spatially reproduced with a spherical loudspeaker array. The acoustical stimuli were analysed to get a range of acoustical and psychoacoustic parameters as well as the EPNL. These parameters will be used to identify crucial acoustical characteristics for noise annoyance and to establish psychoacoustic annoyance models. This contribution will show first models with main predictors.