Open Air Parking: This trophy requires you to throw a car at a helicopter in level one. It's essential you remain in regular form and DO NOT transform into demon mode, as you will be unable to throw a vehicle. As soon as you spot the large rock monster in the level, keep an eye out for the helicopter as this is the only place it will appear. Hit the helicopter with the car for the trophy.
High Flier: During the Choking Grounds there are Dark Realm Challenges, one called the Gory End has you fight a large group of bats that you can kill in one hit by using your Sword attack. War will kill the enemy while it's still in the air, allowing you to jump off the enemy towards another bat without hitting the ground. Jump from bat to bat using the one hit kill and you'll be able to score this achievement/trophy.
Devastator: Also in the Choking Grounds is a Dark Realm challenge called Speed Brawl. A large number of weak zombies spawn around you here; use your Blade Geyser once 10 or more have gathered around you and you should easily unlock the achievement/trophy.