Please realize that it isn't an exact representation of the front page at any particular time. For that you'd want a point, not an interval, and certainly not a 24 hour interval, which is what /front?day=yyyy-mm-dd is showing.
What's it called when you make a single photograph by overexposing a series of time-lapsed frames into one? It's like that. I found it trickier than I expected to write the code to do this, but I think the result serves its purpose: to give people a way to find frontpage stories they may have missed.
We do this via a combination of votes and frontpage time, but only back to 2014-11-11 which is when we started logging the lists of stories on the front page. Those are the 'frames' in the above analogy. Before 2014-11-11, we only rank by votes because it's all the data we have.
If you want to look at actual snapshots from the past, archive.org has a lot of them, e.g. https://web.archive.org/web/20160620131548/https://news.ycom.... Perhaps OP could add random links to those as well!