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Since Moore’s law in the traditional semiconductor industry is facing shocks, More Moore and More than Moore are proposed as two paths to maintain the development of the semiconductor industry by adopting new architectures or new materials, in which the former is committed to the continued scaling of transistors for performance enhancement, and the latter pursues the realization of functional diversification of electronic systems. Two-dimensional (2D) materials are supposed to play an important role in these two paths. In More Moore, the ultimate thin thickness and the dangling-bond-free surface of 2D channels offer excellent gate electrostatics while avoiding the degradation of carrier mobility at the same time, so that the transistors can be further scaled down for higher performance. In More than Moore, devices based on 2D materials can well meet the requirements of electronic systems for functional diversity, like that they can operate at high frequency, exhibit excellent sensitivity to the changes in the surroundings at room temperature, have good mechanical flexibility, and so on. In this review, we present the application of 2D materials in More Moore and More than Moore domains of electronics, outlining their potential as a technological option for logic electronics, memory electronics, radio-frequency electronics, sensing electronics, and flexible electronics.