Well, major alphabets currently in wide use, excluding Korean, Japanese, and maybe a few others.
Hebrew: Aleph, Bet, Gimel, Dalet, ...
Greek: Alpha, Beta, Gamma, Delta, ...
Also, there's evidence that the Phoenician alphabet evolved from the Demotic alphabet, which was basically a late cursive script evolved from Egyptian hieroglyphs.
A clearer statement is that writing was only invented/discovered in isolation three times that we know of--by the Mayans, the Chinese, and somewhere in the middle east.
Well, Japanese uses syllabaries.
The Korean alphabet is a better example of an 'independent' alphabet although it was likely influenced by existing alphabets and there is a theory that it was in particular influenced by Tibetan, which would link it to the "alphabet genealogical tree".
I think you may mean it may have been influenced by the Phags-Pa script [1] (which was influenced by Tibetan, but quite different). Which was invented by a Tibetan and used during the Yuan dynasty.
The fun fact is that all alphabets in the world ultimately derive from the Phoenician alphabet as it spread West, North East, and South East.