The vast majority of alphabetic writing systems are part of the Phoenician lineage (e.g. Latin, Cyrillic and friends) or Brahmic (Devanagari and friends). Is there an active alphabetic system outside these two families. I found it surprising if there are only two families, while other types of writing system seem to have a lot more families. Is there any explanation to this?
While Hangul (Korean) is not totally based on the Phoenician alphabetic system it was inspired by the shapes in Tibetan(Phagspa) and other Brahmic scripts, see the origin of Hangul.
Also some modern day scripts are also not based strictly on the Phoenician alphabetic system. One example is the Canadian Aboriginal Syllabics. Note that this too was inspired by Devanagari & Pitman.
Note: If you were to account for Syllabaries too (Not strictly Alphabetic) the Yi Script would be one too - http://en.wikipedia.org/wiki/Yi_script