Lexical collocations: Explored a lot, still a lot more to explore Lexical collocations, i.e., idiosyncratic binary lexical item combinations, have been an active research topic already for a number of years. State-of-the-art neural network models report to detect and classify specific types of lexical collocations with high accuracy, which might suggest that the problem has been solved. However, a cross-type and cross-language analysis of the results of one of these models raises several relevant research questions. In the first part of my talk, I will present our recent work on the identification and classification of lexical collocations with respect to the fine-grained taxonomy of lexical functions (LFs) in English, French, Spanish and Japanese. Drawing on the outcome of this work, I will focus, in the second part of my talk, on the comparative analysis of the "LF profiles" of English and Japanese material. In particular, I will discuss (i) how the considered LFs are distributed in the given corpora; (ii) how rich the repertoires of the LF instances are in each of them; (iii) whether the contexts of the LF instances overlap; and (iv) to what extent the "profile" of an LF correlates with the accuracy of the recognition of its instances. To conclude, I will formulate the research questions that arise from this analysis.