to be honest, they all fall under the catagory of neo classical. being that they are modern pieces, written in a classical format.
as for the style of classical music they are written in, that's a little more difficult to define, as classical music (this is for the benefit of those who don't know, or who've never studied music) is actually split into time periods, rather than "styles".
for example, one winged angel uses an orchestral ensemble, which should place it directly in the classical period or later, but its written style us much older.
basically classical music evolved like this:
Medievil
Renaissance
Baroque
Classical
Romantic
as more instruments were added to an orchestra, the musical styles were able to change, and entirely new sounds were cultivated. so while a one winged angel would be placed in classical or later because of its woodwind instruments, the style is VERY baroque. Classical music focuses on homophony - a melody over an underlaying chord, with an emphasis on melody, legatto (notes strung together) and an overall softer sound. while Baroque uses mainly strings and is both very complex, and aggressive.
as for classifying the kind of music you're after? Neo classical with a choiral accompaniment maybe?
or simply: video game music. heh