One game to look at (though not copy, because they monetized the hell out of it) is Armello.
It's a digital board game where four players compete to try and beat the king. It's somewhat RPG-ish with a card system. It WAS fun, until the online turned into toxic sludge.

But in that game you could get all sorts of different dice to use. They did a drop system (don't do that Larian). But you could unlock dice that were themed on the various characters, as well as nature and corruption dice.

Something like that would be awesome to see in BG3.
Dice based on each character.
Maybe an Illithid die.
Perhaps class based dice?