As for the possible organization of largest democratic countries, it would generate endless disputes over who should and who shouldn't be included, because democracy measures are not as objective as measures of economical development.
The only debates I can remember are the ones about Russia.
Among current G8 members - yes. I meant debates around possible new G8 members. For example, Turkey and Indonesia were mentioned in the thread, and many doubt that they are democratic.
What doubt is there that Indonesia is democratic???
And when Russia was added to the G7 in 1997 to make the G8, was there any doubt Russia was democratic? Yet like Russia then, the democracy in both Turkey and Indonesia is fragile, so I can see why some might oppose them being part of democratic subset of the G20.