I do not track shave of the day, but over the past 8 years I have evaluated over 250 shave soaps. I use a Microsoft Access database with a separate record for each soap, fields to track evaluation parameters and text fields to include scent notes, ingredients, etc. I do not recommend Access for most people as it is only available in the Professional version of Microsoft Office or the subscription model of Microsoft 365. I have multiple computers, so I find the annual subscription works well for me. You can probably do something similar in Libre Office. There will be a learning curve, but once set up, your database will be a joy to use.
Over the past six months I have evaluated about 70 different razor blades. I have kept the results of those evaluations in an Excel spreadsheet. Spreadsheets are easier to set up than databases, so it is a better option for most people.
At one time, there was an Android app called Shaving Buddy. It is no longer on the Google Play store as it does not work with the most recent versions of Android. You might still be able to install it via apk. I tried it years ago, but it did not fit my specific needs. It might work for tracking SOTD.