I've included details about each fight/Verse in the description, please read for more details:
It actually bothers me that there's no spaces between the hyphen in the chapter title in the game. ;(
Verse 1: Some Joys in a wide open area. Nothing special, I think I had a restart here due to taking a hit.
Verse 2: Tricky to get Plat combo. I used feathers a lot on the Harmonies to boost my combo score as well as on the Gracious and Glorious.
Verse 3: Use Wicked Weave alfheims are honestly boring. They're just a test of your ability to dodge offset, PKP, Tetsuzanko, and Heel Stomp. Limited moveset is a pain, and you can't use Pulley's Butterfly here because Zero's Infernal Communicator will interfere.
Verse 4: Wheee, more falling into pits to crank up our damage. :V Easy Harmony fight.
Verse 5: Super easy, there's a bunch of ways to deal with them safely and they're such big targets that they're chumps. I taunt heal at the start so that I can actually use Bat Within and Perfect Parry (which you can't do at 0 HP!).
Verse 6: Easy, just don't get sniped by one of the far hot wheels. You could probably make Breakdance work well here.
Verse 7: More Kinships. :L Hardest fight of the chapter I think because getting hit here means restarting the chapter. I had 3 or 4 restarts due to getting MISSILES IN THE FACE, ouch.
Verse 8: The dreaded fight for beginners that messes up new players who aren't in the habit of using Charge Modifiers and who are still expecting to get Witch Time on every fight on Normal mode. On NSIC it's basically the same fight as in Normal/Hard. Kilgore + Scarborough Fair barrages take them down without too much fuss.
Verse 10: I always think you need to do this before the Alfheim for some reason. Feather abuse is super handy for this late fight which takes place in a small arena.
Verse 9: Anyone I've seen have trouble with a "Use Angel Arms" Alfheim hasn't been using the bow. ;) The Grace and Glory wave are a bit scary and we have to use up their claws to get access to the bow (only 3 angel weapons can spawn on the field at a time), but otherwise this isn't too bad.
Verse 11: Super easy. Don't waste time with the statue in the center, and don't get stomped by the big guys. Other than that, we use lock on Tetsu to drop the Inspireds.
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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.
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