Underwater acoustic sensor networks (UASNs) are key enabling technology for the Internet of Underwater Things (IoUT), supporting environmental monitoring, offshore exploration, disaster warning and surveillance. Existing routing approaches include depth- and hop-by-hop schemes, geographic/vector-based forwarding, clustering, opportunistic and cross-layer routing, and more recent reinforcement-learning and multi-modal designs. Depth-based methods are simple and localization-free but can create redundant forwarding and energy hotspots near sinks; geographic methods provide directional forwarding but depend on difficult underwater localization; clustering improves scalability and aggregation efficiency but incurs cluster-head and re-clustering overhead; opportunistic methods improve robustness to unreliable links but add coordination cost; and learning-based methods adapt to dynamic channels but introduce computation, memory and convergence overhead. This review develops a two-axis taxonomy that separates localization requirements from forwarding strategy, critically compares representative energy-efficient protocols, links routing choices to security and privacy risks, and identifies open questions in secure learning, energy harvesting and acoustic-optical-RF modality switching. The analysis emphasizes the trade-off among network lifetime, packet delivery reliability, delay, control overhead, scalability and security, and it provides a protocol-suitability matrix for selecting routing families for practical UASNs.
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