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Non-elemental melee attack, combos up to four attacks
At the same time as you're able to unlock Pouke's final Karma, Brollachan joins it as another general-purpose melee attack. It's got a sweep a bit smaller than Pouke's, it's a bit slower than Hawk, and it's just a bit weaker than Asrai, so it occupies an interesting middle ground that makes it pretty effective.
How to fight it: Brollachan's pretty much the same as the other Folks of its type that you've fought - close-range attacks and a charging attack with a bit of wind-up. Fight back with your favorite attack of just about any element, or none.
Non-elemental melee attack, combos up to four attacks
Luideag seems almost redundant alongside Brollachan and its ilk, but it's a strong, cheap, slow attack. I don't know why you'd bother, really.
How to fight it: Luideag lurks mainly in dead ends, so you'll have to leave the beaten path to find any. Once you do, its attack patterns are similar to Brollachan's, but it can charge at you multiple times in a row. It can also summon four Brollachan, so take it out quickly if you can. To balance its increased aggression, it also seems to like to stand still for long periods, giving you a chance to attack.
Destroy elemental short-range attack
Galley-Beggar is yet another Folk that doesn't provide anything you don't already have. It's a pretty strong Destroy attack, but most Destroy attacks are strong, and most of them have some advantage over Galley-Beggar - Ga-dearg has about the same range, but is a combo attack. Galley-Beggar is fast, but that's about all it has going for it.
How to fight it: I found Barrager to be particularly effective in driving Galley-Beggar out of range - it has no ranged attacks, so if you can stay away from it or keep it away from you, there's no danger. It's vulnerable to a number of elements, but non-elemental attacks seem to be the most effective. Capture it with the Beat method.
Earth elemental short-range attack with area effect
For an attack with less range than Poury or Quasarilli and no combo, Padfoot is surprisingly effective as far as Earth attacks go. It's faster than most of your other Earth attacks at this point, which makes it a bit easier to use, and the spread of its attack makes it useful when Keats is surrounded.
How to fight it: Padfoot is Selkie levels of annoying without quite as much threat. It's short, so most ranged attacks will fly over its head, and only non-elemental attacks will hurt it at all. Melee attacks will work, but if it starts an earthquake, Keats will be the one taking damage. Your best bet is to keep at a distance and catch it moving so it can't launch a surprise attack. Its bouncing movement will also bring it into Barrager's range.
Non-elemental medium-range lunging attack
Thrumpin would probably be more effective if not for its slow wind-up. It's a pretty strong attack for a low cost, and the range isn't bad. It just isn't very effective on moving targets, and once you've used it, you're in melee range of the target, so it's time to switch to another attack, like Brollachan. I say just skip the first attack and use Brollachan from the start.
How to fight it: I don't think there's any actual difference between fighting Thrumpin and fighting Killmoulis in the Faery Realm - avoid the line of its attacks and hit it when it's not blocking.
Earth elemental medium-long range attack with area effect
Ah, yet another ground-pounding attack, but Habetrot has a bit less wind-up and a more useful vertical range than most of the other Earth attacks available at this point. Particularly once you unlock the Karma for increased area effect, Habetrot can be useful for dealing Earth damage to large groups of Folks from a safe distance. The only disadvantage is that it's pretty expensive, but that's typical of Earth Folks.
How to fight it: Habetrot comes in four phases - one, two, four, and eight copies, only one of which is the real Habetrot. In the first three phases, all you need to do is hit the real Habetrot with a few Ice attacks to dispel all the remaining copies and move on to the next phase. I find Annwn and Kraken to be the most useful for this purpose. In the final phase, you'll need to destroy all of the copies before attempting to capture Habetrot, so Kraken is recommended. The main attack to watch out for is falling weights, but a spotlight will signal where the weight will fall, so you can block with Killmoulis or Spriggan or dodge if you're quick enough. Capture it with the Stop-and-Go method.
Slash elemental melee attack, combos up to four hits
Neither Answerer's range nor its damage are particularly impressive, but Keats doesn't have much other choice for the Slash element at this point. It's cheap enough that you can afford to use it all you need once you've released enough Karmas for its full combo.
How to fight it: Fighting Answerer takes more patience than anything else - it's invulnerable for long periods while attacking, and it also has a frontal shield that it can raise at will. Non-elemental attacks work, so you can hit it with Barrager until its shield drops, but Earth attacks are particularly effective while its shield's down. All of its attacks are melee, so if you keep at a distance, it won't be able to do anything to you.
Omnidirectional shield
Spriggan is the most effective shield in the game, particularly once you've unlocked all of its Karmas. It drains MC quickly, but will sustain any number of hits from any type of attacks until your MC runs out. There's very little reason to use Killmoulis or Patriot when you have Spriggan on your side.
How to fight it: Spriggan also doesn't have any ranged attacks, but you can't effectively fight it from a distance because it keeps a shield up except when it's attacking. You'll have to let it get close and watch for the shield to drop, dodge or block its punches, then strike back. Various elements will damage it, but if you want to capture it, you'll need to use Slash attacks. Capture it with the Stop-and-Go method.