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Agricultural production remains central to food security and rural livelihoods, yet it is increasingly exposed to compound and cascading natural hazards under a changing climate. Drought, flooding, and extreme rainfall, heat stress, storms, and soil degradation do not operate in isolation. Their impacts often accumulate across the seasonal calendar and propagate beyond the field through labor, processing, storage, and distribution constraints. This contribution synthesizes evidence on how multi-hazard pressures disrupt agricultural productivity and stability, with attention to major staple and cash crops (for example, rice, wheat, maize, sugarcane, and soybean) and to vulnerability patterns that shape disproportionate impacts on resource-constrained and smallholder systems. We review and organize recent findings around three linked questions: (1) how hazard timing and co-occurrence influence crop sensitivity across key growth stages; (2) which biophysical and socioeconomic conditions amplify losses and slow recovery; and (3) which adaptation pathways show consistent promise under multi-hazard risk. A central focus is Climate-Smart Agriculture (CSA) as an integrated response, including practices that aim to improve productivity while strengthening resilience and reducing environmental tradeoffs. However, the review also highlights barriers that frequently limit CSA uptake in high-vulnerability settings, including institutional constraints, knowledge gaps, and financing limitations. By connecting hazard mechanisms to stage-specific crop impacts and to constraints along agricultural value chains, the synthesis supports more targeted adaptation planning and more realistic resilience strategies. The paper argues for context-specific, multi-stakeholder approaches that combine policy, technology, and farmer-centered implementation to address increasing climate and hazard uncertainty.