Two games I vividly remember taking notes on: Elite, on the BBC Micro, very handy for tracking prices and ship upgrade availability across systems; and Myst, because … well, Myst
I've been playing the system shock remake. While probably not as much as the original (which I played many many years ago...) I do appreciate how you have to write things down.
I kept the starmap from the Sega Genesis version of Starflight on my wall for decades. I had hand-drawn the wormholes I had discovered on it. Not being able to reveal perfect playthrough strategies and information with just a web search definitely made gaming a different experience.