Are there any other graphic systems that attempt to be as complete as the International Phonetic Alphabet?
The Finno-Ugric Transcription, a.k.a. the Uralic Phonetic Alphabet is comparably complete to IPA and much more regular and flexible.
I hope that this thread is not too dead, but I'd like to add IKPA - International Korean Phonetic Alphabet. It's based on Hangeul, so is mostly featural.
I have created a Unicode phonetic alphabet that I personally think is even better than the IPA.
It is the result of many hours of work on my behalf.
You can find the documentation on how to use it here: https://github.com/SalviaSage/Translingual-Phonetic-Alphabet
I update this page as I develop the alphabet further.
If you are not just talking about phonology, the most complete graphic system known to man at this point is
because it includes -all- writing systems known to man, including IPA (except maybe Mayan?).