Induction heating has become the most relevant domestic heating technology due to its accurate power control, clean operation and high efficiency. Current design tendencies aim to reduce limitations in pot positioning to increase the cooktop versatility and to improve the user experience. These desired flexible surfaces are implemented by means of multi-coil structures which require the design of new multi-output power converters. This paper reviews and classifies the different inverters proposed in the literature to power multi-coil structures, and analyzes them in terms of versatility, performance, and component count.