Disorder in cuprate superconductors is typically investigated in the dilute, perturbative limit -- even though superconductivity is realized through doping processes that inherently generate disorder. The effects of strong, configurational disorder in the high-entropy regime remain largely unexplored. Here, we systematically tune configurational entropy in electron-doped cuprates by synthesizing high-quality single crystals with varying numbers of rare earth elements occupying the charge reservoir layer. Our materials design strategy allows us to independently control structure, doping level, and chemical pressure. Through a combination of electrical transport, angle-resolved photoemission spectroscopy (ARPES), and scanning tunneling microscopy (STM) experiments, we find that increasing entropy leads to enhanced electronic homogeneity without degrading superconducting properties. We propose that this effect originates from the enhanced entropy of mixing, which allows dopants to be more uniformly distributed. These high entropy cuprates are therefore a remarkable platform to study intrinsic electron-doped superconductivity.