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The conferences on "Strongly Coupled Coulomb Systems" (SCCS) arose from the"Strongly Coupled Plasmas" meetings, inaugurated in 1977. The progress in SCCStheory is reviewed in an `author-centered' frame to limit its scope. Ourefforts, i.e., with Fran\c{c}ois Perrot, sought to apply density functionaltheory (DFT) to SCCS calculations. DFT was then poised to become the majorcomputational scheme for condensed matter physics. The ion-sphere models ofSalpeter and others evolved into useful average-atom models for finite-$T$Coulomb systems, as in Lieberman's Inferno code. We replaced these bycorrelation-sphere models that exploit the description of matter via densityfunctionals linked to pair-distributions. These methods provided practicalcomputational means for studying strongly interacting electron-ion Coulombsystems like warm-dense matter (WDM). The staples of SCCS are wide-ranged,viz., equation of state, plasma spectroscopy, opacity (absorption, emission),scattering, level shifts, transport properties, e.g., electrical and heatconductivity, laser- and shock- created plasmas, their energy relaxation andtransient properties etc. These calculations need pseudopotentials andexchange-correlation functionals applicable to finite-$T$ Coulomb systems thatmay be used in ab initio codes, molecular dynamics, etc. The search for simplercomputational schemes has proceeded via proposals for orbital-free DFT,statistical potentials, classical maps of quantum systems using classicalschemes like HNC to include strong coupling effects (CHNC). Laughlin'sclassical plasma map for the fractional quantum Hall effect (FQHE) is a seminalexample where we report new results for graphene.

Strongly-Coupled Coulomb Systems using finite-$T$ Density Functional  Theory: A review of studies on Strongly-Coupled Coulomb Systems since the  rise of DFT and SCCS-1977