I guess I will just post here what I’m tinkering on. 
I like the platonic solid dice, while the d10s just seem wrong to me. Since I want to keep the numbers small the d20 seems too large.
My game will only use four dice: 1d4, 1d6, 1d8, 1d12. That is resticting, but limits breed creative solutions, so lets go ahead.
The d12 is the largest die and will therefore replace the d20 in most situations. I like rolling under/equal my stat to succed. Let’s do d4+d6 for stat generation. The range of 2-10 means, if I roll 1 or 2 on the d12 it will always succed and 11 & 12 will always fail.
Since I want the make the game world feel physical and carnal I will use the stats:
Body (Strength), Limbs (Dex) and Brain (Will)
I thought about a fourth stat (skin?, face?, heart?) because three stats feel like too few, but I never found a sadisfying solution.
Blood (HP) will be generated using d4+d6+d8. It is very very close to the 3d6 spread. I do not like the abstraction of HitPoints so I want to make them as concret as possible. Fighting spills blood, if you lost too much you die. It also allows for fun mechanics like blood transfusion or vampries not being able to heal naturally, but will devour someone elses blood.
Healing will be +1 Blood per day. The world will run on real life time. So if I play once a week 7 blood will be healed between each adventure.
Without more context it’s difficult to understand what you are going for. Are these rules you are using in a game? A intellectual exercise? Are you looking for feedback?
It seems to me that you are primarily concerned with aesthetics of dice and number ranges you like. I don’t find those aspects very important for play. You can use almost all dice to do all things. And I believe rules abstractions have to be justified against the fiction. But from your post I am not too sure about the fictional context.
So what I‘d be interested in is why are you tinkering? Or with what goal in mind? How is it different from other games?
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I’m back
@warenunfoermig Thank you for your comment, you are right, it would be difficult to understand what I’m doing.
My thought was: this is the “Making”-Subforum so I will make something.
I chose to write about my personal OSR system: Osme
My goals are to make a system I like to play and run. I make my own game systems, that’s how I grew up. Feels weird to use something someone else made.
Aesthetics are very important to me:
• I want pulp adventures to feel visceral and carnal, so I use bodyparts and blood as stats.
• I only want a handful of dice that feel right and don’t get mixed up, even by new players.
I escaped the polyhedral hell by taking the Traveller approach: all D6 in my LJ system. That restriction has sparked a lot of thought on how to generate results I can use. The DA system can use all of the math rocks used in D&D, if only so I can use the existing mechanics in all the places I don’t see necessary to change.