I generally favor the American-style presidential system over the British-style parliamentary system, but I think one flaw of the American one is that it combines the roles of the dignified and the efficient, often conflicting with each other, into one office.

The French semi-presidential system is a little weird, with technically the prime minister being the head of government, but the president still wields most of the executive power.

Indeed, that is the point. But the PM can be replaced more easily than, and doesn't have the same focus of attention of, the head of state. Best is when the two are muddled, as in the German case.

I've lived in Australia, USA, France and Germany so have some idea of the spectrum of options.