We always take our actual passport with us wherever is our port. (EU citizens)
In case you miss your ship due to any reason, you need that to board a plane to get home or to rejoin your cruise.
We do have a pre-printed checklist for each cruiser, and for each port we have game in the mornings to play. Tick the items you packed. We then attach it to the wall with a magnet. 🙂
It is a basic sheet printed from excel listing items like: passport, sunscreen, phone, travel insurance, snorkel gear, towel, sunglasses, raincoat, cash, drinking bottle, any other stuff you may need.. long list.
I love doing that, helps me to prepare for the day 🙂