Sid Meier's Civilization is pretty much the poster child for an outstanding online game that cannot be converted to a (physical) boardgame without either super-heavy mechanics and bookkeeping, or huge simplifications and compromises that take all the interesting nuances away.

One example of many was the corruption calculation in each cilization every turn based on how remote each city was from the capital, the city population, tax-rate and luxury-rate, the number of military units garrisoned there, modifiers for wonders etc.