I use paper for shopping lists, to keep track of dimensions etc, and to-do lists for work.
I tried multiple note taking or to do list apps over the course of a few years before going back to paper.
Benefits: No risk of scratching/dropping my phone because I have it out. Can easily emphasize text, star/cross off items, and mix diagrams and text. Can quickly scan many items by eye. Works when my phone battery dies. Works when no cell service (unlike some collaborative to-do/list apps) Can hand the list to my partner. Instant sync. Satisfying to physically toss out completed lists. Can reference the list while on the phone. Not distracted by phone alerts. Never get spam email or pop ups urging me to pay for an app, or rate an app; no terms of service or privacy policy!