Going further, we come to southern European countries like Spain and Italy, and also to Japan, all with parliamentary systems.
Amidst the Central European nations, we start seeing nations with strong presidents, like the United States, France, South Korea, Taiwan, Costa Rica, Uruguay, and Chile. BTW, the US scores worse than the other nations in this list in the Democracy Index and in the Fragile States Index.
Stronger legislatures, stronger democracies? -- there is a definite correlation between the strength of democracy and the strength of a nation's legislature.
The strength of democracy in nations with parliamentary governments fits in very well. In those nations, the legislatures are the supreme leaders. Strong-president systems produce a temptation of Caesarism, some elected or appointed leader making himself a dictator.
The abundance of parliamentary systems shows that many people outside the US do not envy the US that much -- they don't exactly imitate the US system.
Another issue is how the head of state is chosen. In nearly all systems with strong presidents, the president is elected by direct popular vote. That is sometimes used for ceremonial presidents, but many of them are elected by national legislatures, provincial legislatures, and/or delegates of provincial legislatures.
The US Electoral College is one of a kind, and not used anywhere else in the world, and as far as I've been able to find out, not used for any subsidiary governments in the US -- state and territorial governors and city mayors/managers.
This is what I'd prefer:
National Popular Vote