The Time-Life Books have always been popular back in the 1970s. I remember them being advertised on TV. They were like a subscription series or book of the month club. We have a featured a few here, here, and here.
I know these Time-Life series books might still be popular with some folks depending on the topic. However, I am going to say that some of the science topics probably need to go in favor of more up to date information. Given that some of these sets had multiple volumes, space consideration could also be a factor. The western series I still see on the shelves in many libraries, so I think that series still has some fans.
For the most part, these books are weedable but they do represent a time before the Internet was the source of information. You have my permission to be sentimental when you weed these books.