Going Batty Trophy
Kill ZerenskiStory-related and cannot be missed.
Zerenski is the first boss of the game, who you'll kill in Act 1 as part of the tutorial. The boss fight is simple albeit somewhat annoying. As a reward for defeating the boss, you'll gain Super Speed mode (press twice), which is an upgrade of your Dilated Perception. Essentially it acts the same as Dilated, except that you are no longer slowed by it and are in normal speed whereas the rest of the world is in Dilated's slow speed. (See Full Blooded Vampire for more on her sense powers.)
For more on the boss and tips for fighting him, see below [SPOILER WARNING]:
You'll have to chase him around what looks like a construction area, hopping from roof to roof via scaffolding and other platforms. Using Aura Vision will make this much easier as all of the platforming-available pipes and etc will glow yellow and the marker will tell you where you need to go. When you reach Zerenski, hit him once with your blades and he turns into 3 bats and flies away. Use to target the bat and shoot them with your gun with . Rinse and repeat! Do this 3 times and he will die and the trophy will pop.
For a video showing how to kill Zerenski, see 29:20 Minutes in my BR2: Revamped Walkthrough.