Azorian Adventures! A homebrew setting and ruleset going back to 3.5 era and gritty somewhat old school gameplay.

[GM DarkLightHitomi]

Each d6 is a point, the roll determines where it goes. So, if everyone rolls 10d6, everyone got 10 point buy points.

Now, higher stats require multiple points, if you have dice that rolled for a stat with more than enough for one score but not enough for the next higher score, those dice can either be shifted around, left alone so less points are needed to improve those scores from leveling up (admittedly specific my rules for this campaign), or if a few player choice points were allocated, then the player can allocate them to finish paying for the next higher stat.

In the end though, each die represents a single point buy point, NOT a full +1 to the score.

[GM DarkLightHitomi]

Example,

A player might roll this,
26d6 ⇒ (6, 4, 1, 5, 2, 5, 3, 4, 6, 6, 2, 1, 4, 1, 1, 3, 3, 2, 1, 4, 6, 1, 4, 3, 5, 5) = 88

1s, 6
2s, 3
3s, 4
4s, 5
5s, 4
6s, 4

So strength is 8 plus six point buy, a score of 14.

Dex gets 3, con gets 4, etc.
Final scores: 14,11,12,13,12,12, a 26 point buy spread.

(As a note each point increase costs one point buy until you buy a 15 or higher, so it matters only if you get more than six dice to one score, which didn’t happen here. But if say, 7 dice landed on strength, that would be a 14 with an extra point that could be shifted to dex or con.

[ElbowtotheFace]

Ok so for example we have settled on 26 points, if we were to then roll would it look something like this:

26d6 ⇒ (1, 6, 1, 4, 2, 3, 2, 3, 1, 1, 6, 2, 3, 3, 4, 3, 4, 5, 2, 6, 6, 2, 2, 1, 6, 5) = 84

1 Str 8+5 points 13
2 Dex 8+6 points 14
3 Con 8+5 points 14
4 Int 8+3 points 11
5 Wis 8+2 points 10
6 Cha 8+5 points 13

[ElbowtotheFace]

This might have the inverse problem of not swingy enough. Gonna run a few rounds to see what comes up.

Spoiler:

26d6 ⇒ (3, 5, 1, 6, 5, 3, 4, 3, 4, 5, 2, 6, 5, 5, 3, 3, 6, 6, 6, 4, 3, 4, 5, 1, 2, 5) = 105

1 Str 8+2 points 10
2 Dex 8+2 points 10
3 Con 8+6 points 14
4 Int 8+4 points 12
5 Wis 8+6 points 14
6 Cha 8+6 points 14

26d6 ⇒ (5, 5, 3, 5, 3, 1, 1, 1, 3, 3, 5, 1, 2, 2, 5, 3, 4, 4, 5, 1, 3, 2, 6, 5, 1, 6) = 85

1 Str 8+6 points 14
2 Dex 8+3 points 11
3 Con 8+6 points 14
4 Int 8+2 points 10
5 Wis 8+7 points 14 one floating
6 Cha 8+2 points 10

26d6 ⇒ (2, 4, 3, 3, 1, 2, 4, 6, 1, 1, 5, 5, 4, 5, 5, 3, 1, 6, 2, 2, 4, 5, 5, 5, 5, 2) = 91

1 Str 8+4 points 12
2 Dex 8+5 points 13
3 Con 8+3 points 11
4 Int 8+4 points 12
5 Wis 8+8 points 15
6 Cha 8+2 points 10