i'd call #2 exo-suit type, #3 i'd say is more the rigging type like kancolle and azur lane do https://i.poastcdn.org/1d/3f/66/1d3f664f8f386f13640aae74739add7ffbf5c5b8df7c448743022f0eccad2f8a.png

and then theres the "just floats around" type https://i.poastcdn.org/c5/3a/dc/c53adc23e253afab424b50f2bc0525ce92afa298b4234275a7f6248a0fce6191.png