Cyrillic is the script of many Eastern European Orthodox nations, most famously the Russians. Cyrillic is similar to Latin and some letters even look the same (but there are more of them).
While the Japanese script is used by just a single nation (~2% world population), the economic power and cultural influence of Japan placed it well among the world’s most-recognizable writing systems.
Korean script has been purposefully invented for a single language (Korean). It is among the easiest scripts to learn.
Some 63 million people (1% world total) uses it.
Just three European nations have their own scripts that are neither Latin nor Cyrillic. These are Armenians, Georgians and Greeks. All three scripts are in a sense descended from the Ancient Greek cities which gave Europe much of its philosophy and art.
In the modern Middle East dominated by Arabic Muslims there remains “islands” of pre-Islamic faiths and ethnicities which have their own scripts. Most famous among them are Jews (Hebrew script) but there are also Assyrians (Syriac script) and Tana. All these scripts are related.
Most of the world’s scripts are used in India and Southeastern Asia. Nearly every respectable language has its own script in this region. All Indian/Southeast Asian scripts are however quite similar to each other.
Some of the world’s minor scripts are so unique that they are hard to classify.