If you can do that then you are a better man than me. It always made me happy to see the next item box so that I could sort through my hoard. I usually seemed to be carrying too much of what I didn't really need and needing what was in the box.
It's not as difficult as it sounds. Take that from someone who is probably not very skilled at this sort of game.
When I was playing Resident Evil 2, after completing it a couple of times on both characters, I decided to try some of the challenges. Getting through all the modes in under certain times and with high ranks was one of them. In order to do that, you want to take the quickest routes. While I don't think this is the most fun way to play the game (doing it blind and exploring is more my thing), since I already did that, it was fine.
The best thing that helped me was looking up speed runners. While I can't come close to matching their times, the time you need to clear is much higher than they do it in. Watching them, and then trying to replicate most of what they did, taught me a lot...
1. I learned most of the fastest routes by memory.
2. I learned what I needed to pick up and what was optional based on my skill.
3. I learned to avoid most combat instead, and how to. Namely, I got me better at running right by things/dodging them, or simply staggering them briefly with a quick hit to the knee, instead of spending more time and resources trying to put them down entirely.
Basically, by doing this, it made a lot of the other challenges easier. The "don't use a healing item" and "don't save" for example. That sounds hard... but then you realize you can even use the upgraded/infinite weapons to complete them, which I'd say makes it way too easy.
I got most of the achievements done in Resident Evil 2 (the survivor mode ones were the ones I didn't accomplish), but Resident Evil 3 is one I put down before I got most of them. Apparently I didn't read all story files (I thought I was super thorough?) nor find all of the hidden raccoons or whatever they are. I know I could just look up a guide but I want to leave them for myself to find if I ever go back to it one day. I'll look up advice/video examples to learn but otherwise looking up guides for where things is is only a last resort for me.
The one I'll probably never complete on Resident Evil 3 are the higher difficulties. Nemesis on hardcore was challenging enough for me, haha.