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.
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.