Thomas Verschoren came up with a nice solution that uses Automator and Dropbox to replicate the Everpix Flashback feature without Everpix:
Now that Everpix is gone, I'm missing its daily flashback feature. I loved going into the app each morning and seeing images from the past year. Since there's no alternative available, I decided to build my own Flashback feature based on my existing Dropbox photo-storage.
While there is no algorithm that can pick the "best" photos from any given day, it's better than nothing and it relies on Automator, which is a built-in OS X tool. To replicate the daily reminders, I would suggest setting up a recurring item in the Reminders app with a link to the shared Dropbox folder, so that you'll always be taken to a day's flashback photos when clicking it.
After last week's challenge on The Prompt, we have received some interesting scripts and ideas for workflows that recreate the Everpix Flashback. We'll discuss the results on Wednesday, so, if you haven't yet, you still have time to enter our "contest".