Kohn-Sham Density Functional Theory (KS-DFT) remains the dominant workhorse of electronic-structure theory in quantum-chemistry, solid-state physics, and material sciences. Increasing the accuracy of approximate exchange-correlation (XC) functionals while maintaining low computational cost constitutes the holy grail in the development of KS-DFT. Following Perdew's ladder 5 hierarchy of density functional approximations (DFAs) from the local (spin) density approximation (L(S)DA, rung 1) via the generalized gradient approximation (GGA, rung 2) to meta-GGA functionals (rung 3), the hyper-GGA rung 4, and the fully nonlocal functionals on rung 5, both complexity and computational effort tend to increase. This is often accompanied by a reasonable chance that the achievable accuracy can be enhanced as well. Rung 4, where exact exchange (EXX) enters the picture, appears to provide the largest room for improvement at still affordable computational cost, certainly so in a molecular setting. Initiated by the introduction of global hybrid functionals (GHs) with a constant EXX admixture, various notable branches of hybrid functionals have evolved: range-separated hybrids (RSHs) vary the admixture in interelectronic distance space, local hybrids (LHs) in coordinate space. Various combinations of these ideas exist, such as range-separated local hybrids (RSLHs), locally range-separated hybrids (LRSHs), and even most recently locally range-separated local hybrids (LRSLHs), which all bring in their own advantages and complexities. We have recently shown that LHs and RSLHs can be augmented by correction terms for strong correlations, which opens unprecedented pathways out of the usual zero-sum game between delocalization and strong-correlation errors. We are firmly convinced that these types of constructions, which depend on the EXX energy density, will be an important ingredient of the future of KS-DFT.