Most common draw

Which is most common cause of draw in recorded play?

1. Stalemate
2. Insufficient material
3. Impossibility of checkmate otherwise than through 1) or 2) presently on board
4. Correct claim of 3-fold repetition
5. Correct claim of no progress in 50+ moves
6. Forfeiture on time where losing is impossible
7. Forfeiture on 2nd illegal move where losing is impossible
8. Imposed by arbiter for 5-fold repetition
9. Imposed by arbiter for no progress in 75+ moves

Any other legal ways to draw (other than agreement)?

# 2 (insufficient material) ,#3 (impossibilitiy of checkmate) , #6 (forfeiture on time where losing is impossible) and #7 (forfeiture on 2nd illegal move where losing is impossible) are all variations on the insufficient material rule.

#5 is not the rule. The rule is 50 moves without a pawn move or capture. "Progress" is arguable. This would be a problem for #9 too.

#8, #9  Imposed by arbiter for 5-fold repetition and for no progress in 75+ moves. Where are these rules (#8 and #9) from? (Are they rules in Estonia?)

It would seem that you have left out arbiter adjudicated games.

As far as figuring out how common these various ways are, I would assume you are talking about tournament play, probably tournament play by masters (and therefore not including the first games of 8 year olds). Is that right? I would guess that 3-fold repetition is the most common (other than mutual agreement).

No, worldwide, but enacted in Estonia:

https://www.fide.com/fide/handbook.html?id=171&view=article

9.6 a) and b)

Sounds I missed 3 ways to draw by G.5.