 There are more challenges to structuralism in mathematics that one can find in the literature of the last 20 years. While usually connected to the problems just surveyed, sometimes these challenges go further. For example, additional questions about the semantics involved in structuralism have been raised, typically again for the non-eliminative variant (cf. Button &amp; Walsh 2016, Assadian 2018, etc.). Instead of summarizing these challenges too, we hope our survey so far provides enough illustration of the kinds of debates that have occurred in the recent literature already.