The Korean Hangeul alphabet is an interesting compromise. It's an alphabet, but multiple letters are grouped together into syllabic characters when written. Those syllables in many cases map back to Chinese Han characters by way of sound values (a lot of the Korean vocab is Chinese in origin, even though the language have very distinct grammar), which means the boundaries between morphemes often match the character boundaries. This is reflected in the orthography, where in case of multiple options for how to distribute letters over characters, the option that keeps the same morpheme spelled consistently through use in different words is preferred. So while you can write phonetically as in Latin, the written language retains a high level of morphological information and things feel very Lego-like.
There seems to be a pattern in Asian languages that try to equate symbols that represent things to the physical respresentation. I recall a friend stating the Korean word/character for balance looked like a person holding jugs of water on each shoulder.
Some Han characters are ideographic in nature, but not all of them. Korean used to be written with Han characters (using sets of very complicated rules for how to apply them to the language) prior to the invention of Hangeul, but other than a handful of them they aren't in widespread use any more outside specialized or educational contexts. However, some of the Hangeul letters are featural in design, e.g. the velar consonant ㄱ (g/k) is meant to be a side view of the tongue when producing its sound.
