The neural mechanisms of consciousness remain elusive. Previous studies on both human and non-human animals, through manipulation of level of conscious arousal, have reported that specific time-series features correlate with level of consciousness, such as spectral power in certain frequency bands. However, such features often lack principled, theoretical justifications as to why they should be related with level of consciousness. This raises two significant issues: firstly, many other types of times-series features which could also reflect conscious level have been ignored due to researcher biases towards specific analyses; and secondly, it is unclear how to interpret identified features to understand the neural activity underlying consciousness, especially when they are identified from recordings which summate activity across large areas such as electroencephalographic recordings. To address the first concern, here we propose a new approach: in the absence of any theoretical priors, we should be maximally agnostic and treat as many known features as feasible as equally promising candidates. To apply this approach we use highly comparative time-series analysis (hctsa), a toolbox which provides over 7,700 different univariate time-series features originating from different research fields. To address the second issue, we employ hctsa to high-quality neural recordings from a relatively simple brain, the fly brain (Drosophila melanogaster), extracting features from local field potentials during wakefulness, general anesthesia and sleep. For each feature, we constructed a classifier for discriminating wakefulness and anesthesia in a discovery group of flies (N = 13). In this registered report, we will assess their performance on a blinded evaluation group of flies (N = 12 for graded levels of anesthesia, N = 18 for single dose anesthesia, and N = 19 for sleep). While the full details of the experimental methods are unknown to the data analysis team at the time of submission of this Stage 1 manuscript, they will be reported upon in-principle acceptance. Pilot results indicate that the performance of only a small subset of features (up to 561, depending on recording location) successfully generalizes to an independent dataset (N = 2). Features which successfully generalize can be fruitful avenues to explore towards robust discoveries of the neural correlates of consciousness.