I've included details about each fight/Verse in the description, please read for more details:
The worst chapter of the game. You can't dodge in midair during the bike sequence, and the road's many hilly sections force you into midair. If you're not worried about medal ranking it's perfectly fine, but it's a dumb gimmick chapter and isn't fun to Pure Platinum.
Verse 1: The easiest way to botch a Pure Platinum is to knock the two big angels off the truck before you get a sufficiently high combo off of them. Careful with your Wicked Weaves! I use PPPKK, PPPKK repeatedly to blast them. You also have to avoid getting hit by the trumpeters, but they're fairly easy to hit with lock-on Tetsuzanko.
Verse 2: Very tricky if you try to do it "normally" as you have to hide at the side of the road to avoid the risk of getting smacked by a car. However, unlike Normal's Joys, NSIC has Gracious and Glorious, who are easy to cheese with feather spam. Very easy. Remember to hold up and mash jump in the next cutscene!
Verse 3: Ugh. As long as you don't slow down too much time is no issue, but avoiding damage is very difficult, as is getting enough hits to get a Platinum combo. The trick is to slow down before the giant Beloveds and use your dodge slide to melee attack them (if you slide through their legs during the i-frames at the beginning of the slide, it counts as doing a melee attack).
Verse 4: Very, very tricky to get Platinum combo. Verse 4 starts just at the last Beloved on the second bridge, and using a melee attack with your slide dodge is crucial to get Platinum combo. When the road starts breaking apart, use dodges; don't try to jump to get up the road segments. Make sure to avoid crashing into the trucks; unlike the walls that drop down in the tunnels, you cannot slide through the trucks, so you have to go between their wheels or around them!
Verse 5: Last fight's easy, it's just some Braves. Get a decent combo and don't get hit.
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This Bayonetta playthrough features the secret character "Little King Zero", who is unlockable by clearing the bonus chapter "Lost Chapter: Angel Slayer". Little King Zero is the hardest character in the game to get Pure Platinums due to his innately equipped Infernal Communicator interfering with the use of both Pulley's Butterfly and Sergey's Lover. His minor advantage of very slightly faster running speed and slightly improved magic gain per hit (mostly noticeable when using Scarborough Fair, Handguns, or Bazillions) do not make up for these disadvantages.
This playthrough gets a Pure Platinum (no damage taken in combat, Platinum rank time and combo on every fight) on each chapter while showcasing all the cutscenes as Little King Zero, without ever resorting to the checkpoint restart exploit. Most playthroughs on KZfaq resort to this exploit, where you can immediately pause the game, select Quit to Title Screen, and then Continue to restart any fight where you get hit, or if you're worried your combo score or time are too low to get Platinum. It's easy to spot the jump cuts in Pure Platinum runs where players resort to this exploit before difficult fights. It's especially weird when they deliberately avoid the use of specific weapons or accessories (usually Pulley's Butterfly) in order to look hardcore, but then resort to this incredibly abusable exploit to get their Pure Platinums, which essentially removes most of the stress or tension from having to avoid taking damage while nailing combo scores and time in each fight.
If you can just restart any fight you fail, rather than having to restart the entire chapter, it's far less challenging to Pure Platinum the entire chapter. All it takes is to retry the fight over and over until you get through it without taking damage (and hopefully get Platinum combo score and time) then use video editing to cut out the failed attempts. The people who use this exploit to get Pure Platinums often won't mention it explicitly in their video description, and you have to figure it out yourself based on the presence of jump cuts in the chapter. The worst part is this exploit is useless for teaching you consistent combat strategies. Lost Chapter: Angel Slayer doesn't allow for mid-chapter restarts, hence why players who resort to this exploit to get their medal screens full of Pure Platinums tend to have trouble with this endurance chapter. The only other player I know of who has recorded a Pure Platinum playthrough of NSIC without using the Continue Exploit is a highly skilled Japanese player by the name of "tomatyesc", who also has multiple recorded Pure Platinum runs of Lost Chapter: Angel Slayer: / tomatyesc