While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct nonequilibrium universality classes. Yet, such behavior has proven difficult to observe, with most systems exhibiting equilibriumlike fluctuations despite their strongly nonequilibrium microscopic dynamics. We introduce a hard-disk model driven by active collisions, conceived as an effective two-dimensional description of a vibrofluidized granular system that, contrary to self-propelled models, displays clear nonequilibrium interfacial scaling. We observe for the first time, the $|\mathit{q}|\mathrm{KPZ}$ and wet-$|\mathit{q}|\mathrm{KPZ}$ universality classes while revealing a new, previously overlooked universality class arising in systems with slow solidlike or glassy dynamics. Conservation laws and slow dynamics select these distinct classes.

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• Critical exponents
• Dry active matter
• Dynamic critical phenomena
• Dynamics of phase separation
• Living matter & active matter
• Noise
• Nonequilibrium statistical mechanics
• Gas-liquid interfaces
• Interfaces
• Liquid-solid interfaces
• Solid-gas interfaces