Aschen is as she appears in Super Robot Taisen OG Saga: Endless Frontier, with all her moves, skills, and specials. aschen has hit zack with Tigress Bite, Genbu Spike, and Divine Lance.
Vile is as he appears in Maverick Hunter X. He has an infinite amount of energy that will automatically restore itself (unlike the game), is with both the Speed Devil and Frozen Castle upgrades, and his weapons are Triple 7/Popcorn Demon/Golden Right/Fatboy/Necro Burst/Marooned Tomahawk/Bang Away Bomb/Stubborn Crawler/Burning Drive. Vile has brought with him his trademark Ride Armor, as seen in Maverick Hunter X, however it will not explode after a given amount of time.
Kratos is as he appears in God of War 3. The only artifacts in effect are the Hercules' Shoulder Guard and the Poseidon's Conch Shell. He and his weapons are fully powered up, however he does not have the Blades of Athena, the Soul Rip ability, and he may not invincible at any point in the fight.
The T-Rex is as he appears in Doritos Dash of Destruction. He has been fully augmented and has all his upgrades from the game.
Justice is as she appears in her story mode of Guilty Gear Accent Core. She has access to all her moves, save for gameplay mechanic-y things (e.g., Faultless Defense). She cannot use her Commander Gear status to control her enemies.