My opinion of Soul Taker was that it was fairly good. Yes, sometimes the visuals got me confused as onto what is going on but it was original and kept it interesting. The storyline was interesting, the music was fairly good, and so on. As to my knowledge that specific type of visual doesnt have a name.
FYI: If you enjoyed Soul Taker you might wanna take a look at Nurse Witch Komugi-Chan. Yeah, she's got her own series. Its got nothing to do with Soul Taker and its really a comedy genre and its just funny to watch the characters of Soul Taker in a completely diiferent type of setting.