How minimalist can D&D characters be?

As I've said before, this is the amount of information I'd like D&D characters to have — and that would have to be enough in actual play for something like 80% of the rolls, to minimize the time spent doing math and checking the book:

Nice, huh? Class, level, abilities, a couple of magic items or spells, and you're good to go. Most PCs have a little more than a dozen pieces of information (Name, Alignment, Level, Class, 6 abilities, AC, HP, weapons, and armor), plus spells for some.

Realistically, however, even the lightest versions of D&D need more information than that. For example, can you recall each saving throw from memory? Unlikely, but this is easily solved by reducing all of them to a single saving throw (say, roll 1d20 + level, target 20, or 16, etc.).

What about THAC0? Same thing. I'm happy with leaving the attack bonus equal to level for fighters, half level for everyone else, which is a huge simplification from D&D. But that's two extra bits of information. And usually, you need ranged and melee values, which rely on more information than just level (so you need to add strength modifier).

And ability scores? You have the six of them, but you need modifiers. You could commit the modifiers to memory, but you use them often enough that is is easier if you write them down. Well, maybe not all of them; since you already have AC, HP, and languages, you can ignore Dex, Con and Int modifiers most of the time (which is, by itself, an interesting idea - why keep these modifiers in the character sheet?). But you need Charisma mods for reaction, at least in theory, and Wisdom for saves.

Strength modifiers are needed to attack and damage - and in AD&D, this can mean two additional numbers. Notice these stats lack weapon damage too, something you'll use all the time.

Notice tat at the very least we could ignore all "+0" modifiers so we'd only need to add two or three digits, not six new ones.

We do not have much equipment here either; it is likely that a real PC has at least half a dozen items or more, not only weapons and armor. I'm counting "sword +2" as a single piece of information, not two.

[On a side note, maybe in a low magic D&D setting, "sword +1" could be a personal trait for a warrior instead of a magic weapon. This could incorporate your strength bonus and make "weapon specialization" a lot easier.]

So maybe we'd have a minimum of 30 pieces of information for each PC... but there is more!

Spellcasters have spells, which is straightforward enough (if not for the fact that they could in theory pick new ones every day, and clerics have access to their whole list - notice that the cleric here has no spells memorized). Thieves have skills - again, a bit hard to memorize, but can be easily replaced by rolling 1d20 and adding level (once you get some customization, more information is needed). Fighters have their weapons specializations and extra attacks - and they need this stuff.

And that is assuming each PC can only have one class.

In the end, we could have more than 100 pieces of information. Look at this AD&D sheet:

Of course, much of it is redundant, or rarely used, but it still muddles the sheet.

Sigh.

In the end, this post ended up doing the opposite of what I intended when I wrote its title...

The answer, I think is that D&D characters could be a lot more minimalist than they are, but it is not an easy task.

We could start by cutting all ability scores in half (only one number, no modifier), reducing all saves to one single save, and streamlining all skills... but I've been to this road before. There is no end to this, other than ending with something that doesn't resemble D&D anymore.

Maybe this much complexity is fine if I let the players handle it. 

I guess I have no easy answers today.