Since this thread is titled, "Chinese equivilant to Angels?, descriptions, powers, rankings, etc." And reading this thread, the angels you're referring to here are from Christianity. If so, you may need to know some facts according to the Bible about angels before you compare.
[disclaimer:- I have not made a personal study of angels 'cos, erm, not very interested in them.. yet. So whatever I've written, I've actually gotten from a book written about them.]
I've also heard that it's only in the Christian Bible that the orders of angels are elaborated into 12 or so ranks (and the inclusion of Fallen Angels).
According to this book I have, titled "Angels" by Billy Graham, it is actually nine; quote:-
"We cannot study the subject of angels in the Bible without becoming aware of ranks among angelic beings. The evidence shows that they are organized in terms of authority and glory.
Though some see the ranking of celestial powers as conjectural, it seems to follow this pattern: archangels, angels, seraphim, cherubim, principalities, authorities, powers, thrones, might and dominion (Colossians 1:16; Romans 8:38)"
The ranks above include the fallen angels.
On Shang/Zhou stuff, the patterns and Taotie have always fascinated me. You have a theory that Christianity and such is based from ancient Chinese religious beliefs, right? I usually hear it as ShangTi=YHWH/Dio/etc. but did you ever make an equivilancy to Angels (say the famous ones like Michael, Death Angel, fallen, etc.)
By that I assume you mean the different roles that angels play.
There is only one archangel mentioned in the bible. (Jude 9) And that is Michael, recognised in rank to be the first prince of heaven. (Daniel 10:21) He especially protects and defens God's people. Bible students have speculated that Michael cast Lucifer and his fallen angels out of heaven.
In relation to the Taoist equivalent, I do not recall that there was a rebellion in heaven. Although I think there are many generals according to Taoism, there is no one above all in terms of angelic authority.
Gabriel is another one of the most prominent angels mentioned in scripture, often referred to as "the messenger of Jehovah". He appears twice in the New Testament and announces the birth of John the Baptist (Luke 1:19) and the Virgin Mary about Jesus. (Luke 1:30-33) Contrary to popular opinion, he is not an archangel.
I do not think there is a messenger angel from heaven in Taoism. Although there is something about messangers from hell? I think there were 2? I think they did not have human heads.
It is difficult to go into detail the roles of Seraphim and Cherubim; they belong to different orders and are surrounded by much mystery in scripture, they share one thing, they are constantly glorifying God.
There is no equivalent of this in Taoism. In Taoism, a Jade Emperor is portrayed and he holds court, quite possibly like the courts that are held during the different dynasties. And he had different ministers and generals in them. But these beings do not worship the Jade Emperor, they recognise him as overlord. Only people worship him and his court.
And yes, Satan. Before Satan fell, he was known as Lucifer, one of the most brilliant and beautiful of all created beings in heaven. (Ezekiel 28:12-17 describes him) He rebelled against God. The Bible speaks of "the dragon.. and his angels" (Revelation 12:7) A third of the angelic host fell with him. (Revelations 12:4)
There is no satan equivalent in Taoism but there is a reference to fallen angels as demons. Unless satan is the king of hell. In terms of representation, in Taoism, he does seem to play a less active role. Whereas in Christianity, he is seen to play a more 'active' though futile role. (Ephesians 2:2; Revelations 12:10-11)
Also, there was no rebellion in heaven according to Taoism. Although according to folklore, there have been individual heavenly beings who have misbehaved and were banished to earth. Nothing much is said about the king of hell. In Taoism, it seems an accepted fact that people would automatically go to hell. That's why the elaborate ritual on death to help them cross the 18 levels into paradise.
On a side note, interestingly, both Taoism and Christianity talk about a bridge to paradise after death... but that's for another time..