Through financial network analysis we ascertain the existence of important causal behavior among certain financial assets, as inferred by eight different causality methods. To our knowledge this is the first extensive comparative analysis of financial networks as produced by various causality methods. Additionally, some specific nonlinear causalities are used for the first time in the financial network research. Our results contradict the Efficient Market Hypothesis and open new horizons for further investigation and possible arbitrage opportunities. Moreover, we find some evidence that two of the causality methods used, at least to some extent, could warn us about the financial crisis of 2007-2009. Furthermore, we test the similarity percentage of the eight causality methods and we find that the most similar pair of causality-induced networks is on average less than 50% similar throughout the time period examined, rendering thus the comparability and substitutability among those causality methods rather dubious. We also rank the assets in terms of overall out-strength centrality and we find that there is an underlying bonds regime almost monopolising in some cases the realm of causality. Finally, using the network visualization, we observe an established pattern (i.e., across all causalities) of oil's rising role as the financial network faces the Chinese stock market crash.