This narrative review examines the design of power electronics for deep-sea energy and industrial systems, where converter performance is constrained by electrical demands and prolonged exposure to pressure, seawater, temperature cycling, and limited maintenance access. Targeted, non-systematic literature searches covering studies available through September 2026 were used to connect offshore renewable generation and hydrogen production, sub-sea distribution and motor drives, and autonomous underwater vehicle (AUV) power and charging. The review organizes published evidence around converter topology, semiconductor and passive-component selection, switching and conduction losses, insulation coordination, thermal paths, protection, and environmental qualification. It identifies distinct design priorities: high-voltage insulation and fault isolation for sub-sea distribution; continuous-current capability and ripple control for hydrogen interfaces; and compact conversion, energy budgeting, and misalignment-tolerant charging for AUVs. Hydro-static pressure and sealing alter heat-transfer and insulation boundaries, while vibration, corrosion, and cycling create interacting failure pathways. Consequently, efficiency or power-density figures measured under different electrical loads, pressure conditions, cooling arrangements, and test duration cannot be ranked directly. A mission-specific design and verification pathway is proposed, beginning with explicit operating boundaries and component-level screening, followed by combined-stress tests, converter prototypes, and system-level trials. The proposed pathway also incorporates monitoring, maintainability, and life-cycle assessment. Published demonstrations substantiate individual technical options, but they do not establish a universally optimal architecture or long-term sub-sea reliability. Future studies should report comparable measurement boundaries, failure criteria, and exposure histories so that converter designs can be evaluated against the demands of their intended missions under repeatable, application-relevant conditions and declared measurement uncertainty.