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The design of miniaturised linear arrays by using isotropic lenses with reduced complexity is addressed. The problem at hand is formulated as a global optimisation one, then solved by means of a computationally‐efficient customisation of the system‐by‐design (SbD) paradigm suitably integrated with the quasi‐conformal transformation optics method. To yield arbitrary transformation geometries with a limited set of degrees‐of‐freedom and to reduce the lens complexity, while guaranteeing the same radiation performance of a larger reference aperture, a spline‐based description of the lens shape is adopted. Representative numerical results are reported to assess the effectiveness as well as the computational efficiency of the proposed SbD‐based approach.