Maybe this is a good article for some stories to be recategorised, many authors write a contemporary story that is relevant to the time it is written. Such as a story written in the 1960's based in that time was considered contemporary at the time, obviously now it isn't as time has moved on. We now have mobile phones that were unheard of then and TV was black and white, to many readers now labelling such as story as contemporary would be misleading, so recategorising it as recent, or modern, history would probably be more relevant to that story. It can difficult to avoid the cultural elements as they may be essential to the story, when they are essential leaving them out is detrimental to the story and could lessen the readers enjoyment. Many readers want to be able to 'visualise' the story so the cultural elements become necessary, this enhances their enjoyment.
@Comicality raises many good and very relevant points in this topic, conversely those points also raise many points that should be open to debate regarding story categories, one being should we recategorise or not? readers can, and do, appreciate stories that are based in recent/modern history but they should not be misled when a story really is no longer considered contemporary and now belongs in a different category.
Thanks @Comicality for an interesting article, it is relevant and opens up a lot for future conversation.