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HIGHLIGHTS • Two-dimensional materials including TMDCs, hBN, graphene, non-layered compounds, black phosphorous, Xenes and other emerging materials with large lateral dimensions exceeding a hundred micrometres are summarised detailing their synthetic strategies. • Crystal quality optimisations and defect engineering are discussed for large-area two-dimensional materials synthesis. • Electronics and optoelectronics applications enabled by large-area two-dimensional materials are explored. .