Since this question was posted today (Is there any rule which dictates the ordering of non-proper, non-pronoun nouns in a list?) and I thought I remembered seeing a number of older questions with relevant answers, I ended up creating a new tag for them: https://english.stackexchange.com/questions/tagged/list-order?sort=votes&pageSize=30
However, I'm still not sure about the name. I went with "list-order", because to me it seems like the main connecting idea is how to order coordinated words, and a set of coordinated elements in some order can from my perspective be referred to as a "list" even if it only contains two elements.
However, this might not be the most intuitive name (another problem might be the similarity with the older tag sort-ordering, which mainly deals with questions about things like alphabetization).
Does anyone have a good idea for what to call it? I'm going to post a few suggestions of my own as answers so they can be voted on independently of this post.