The console-exclusive missions have alternate costumes available, which you can unlock by satisfying the corresponding requirements.

Costume	How to unlock
Gray Fox Skin	Correctly answer all Déja Vu end-of-mission quiz questions on Hard difficulty.
Raiden re-skin (Green)	Complete Jemais Vu mission on Hard difficulty.
Raiden re-skin (White)	Complete Jemais Vu mission on Normal difficulty.
Snake Skin	Correctly answer all Déja Vu end-of-mission quiz questions on Normal difficulty.