This is partially the point of the recent wave of daily games spurred by wordle. You can only play today’s puzzle, so you’ll have to return to the site every day to try new ones.
In fact I don’t think I’ve seen any that allow you to play past day’s puzzles.
I've been playing Cell Tower[1] for a while now, and it's one of the few that does allow you to redo previous puzzles you've missed (or have already taken and just want to redo anyway). The streak however only increases when you play today's puzzle.
It isn’t, it’s a feature to keep the website relevant for a longer time. I’d be really happy to see this one break the mold, considering the rest of the development seems really reasonable and user-friendly.
I truly love how the daily puzzle format is intentionally nonaddictive. So many games and apps are designed specifically to get you addicted. This was my favorite thing about Wordle when I first heard about it, and it's one of the main reasons I embraced this model for inspiration.
That said, there has been consistent feedback that people want to play old puzzles, myself included. At least for me, the replay value is actually pretty solid after a few days' opportunity of forgetting the solution. So the next big feature I'm working on is the puzzle archive. Stay tuned!
The NY Times Crossword archives past puzzles and it really helped me improve at Crosswords in general. The archive dates back over a decade and there are certainly days that I just really want to do a bunch of crosswords.
I suspect this combo of a new daily puzzle and the complete archive will be the winning implementation over time.
In fact I don’t think I’ve seen any that allow you to play past day’s puzzles.