It goes without saying that theoretical physics has over the years become overrun with countless distinct - yet sometimes curiously very similar - theories, in some cases even dozens of directly competing theories. Within the foundations things can get far worse once we start to run into different interpretations of the same theory, such as is the case with the interpretation of QM. It would therefore be quite enlightening if there was some kind of taxonomic classification of the properties of the main fundamental objects of different theories within theoretical physics. This would enable both a better conceptual understanding of the theory itself as well as a relative comparison between theories and classes of theories. Currently used taxonomies like PACS and PhySH clearly don't seem to be sufficient for such a task. Incidentally, it is often argued by physicists that group theory already provides us with such a classification scheme of theories based on their symmetry groups. Group theory as is however, as far as I can tell, is nowhere near sufficient for carrying out the above task; this shouldn't be surprising, seeing that classification of course isn't the main aim of group theory. The problem with group theoretical taxonomies of physical theories is that they essentially presuppose that all theories in question share the same fundamental nature i.e. the fundamentality of the group; this while it seems to be obvious that physical theories in practice can fundamentally differ in much more subtle ways that aren't necessarily captured - or even fully capturable - by the group concept. Those that insist that group theory can and must be used in this way, do not do so by reason and demonstration, but instead by order of fiat. Two other contenders which seem much more appropriate for carrying out the task of taxonomy of physical theories are network theory and category theory. Such a taxonomy, being non-static, would of course have to be updated at least every few years, therefore another very nice solution would be if AI could solve this problem for us like described here: https://arxiv.org/abs/1611.03890 In any case, seeming such a simple task which could teach us so much, I presume that such a project of creating a taxonomy of extant and stagnant/dead physical theories is already being undertaken by various institutes (such as the APS or the Royal Society), but a quick search turns up pretty much empty. Does anyone have any references for such a project being carried out?