The Deluxe Edition includes the full game and the following additional content:

Devil Breaker weapons: Gerbera GP01, Pasta Breaker, Sweet Surrender, Mega Buster
Dante weapon: Cavaliere R
Battle music: 3 tracks each from Devil May Cry, Devil May Cry 2, Devil May Cry 3, and Devil May Cry 4
Alternative voices: Style Rank Announcers, Title Calls
Live Action Cutscenes