Noita is probably the best example of this ever) systemic/emergent gameplay (you can use the key to unlock a door, but you could also try fire to burn it down, or picking the lock. non-modality (all actions are available at all times. permadeath (Noita's unlockables are a violation of permadeath by this standard)
The 'Berlin Interpretation' set out a definition for a roguelike, according to 8 high-value factors and 6 low-value factors. So there's a lot of snobbery and legitimate discussion around this.
