Wireless communications are significantly impacted by the propagation environment, particularly in doubly selective channels with variations in both time and frequency domains. Orthogonal Time Frequency Space (OTFS) modulation has emerged as a promising solution; however, its high equalization complexity, if performed in the delay-Doppler domain, limits its universal application. This article explores domain-adaptive system design, dynamically selecting best-fit domains for modulation, pilot placement, and equalization based on channel conditions, to enhance performance across diverse environments. We examine domain classifications and connections, signal designs, and equalization techniques with domain adaptivity, and finally highlight future research opportunities.