Position with the largest material imbalance that is a draw, no matter whose turn it is? I am curious if there is a known position with the largest material imbalance that, no matter who it is to move, the weaker side can hold a draw.
Here's a humorous, uncredited example I found in Lasker's Manual of Chess. However, a search revealed that it was created by Ludwig Meyer in 1886.

[FEN "b2b3R/1np2pp1/1p3k2/n2KN3/p7/5pN1/P1p3p1/2B2rqr w - - 0 1"]

1. Ng4+ Ke7 2. Nf5+ Kd7 3. Ne5+ Kc8 4. Ne7+ Kb8
5. Nd7+ Ka7 6. Nc8+ Ka6 7. Nb8+ Kb5 8. Na7+ Kb4
9. Na6+ Kc3 10. Nb5+ Kd3 11. Nb4+ Ke2 12. Nc3+ Kf2 (12... Ke1 Nd3#)
13. Nd3+ Kg3 14. Ne4+ Kg4 15. Ne5+ Kf5 16. Ng3+ Kf6


A draw by perpetual check, against all odds! Black has all the pieces, White only a few. Every move is forced.