For kicks, I felt like sharing my findings after a few clears. Reply with your own tricks if you feel like contributing. It doesn’t need to be melee-centric.
1st fight (Nophica) :
The Giving Land (Flower version (middle AOE)) :
To optimally dodge the flower version of ’’The Giving Land’’, stay in max melee range until the cast bar reaches the ’’G’’ in ’’The Giving Land’’. As soon as the cast bar reaches G, peel off for 1 second and go back in.
2nd fight (Althyk):
Hydrostasis (3x geyser knock backs) :
During the first Hydrostasis, take note of where the geyser that will knock back last is. Use Arms Lenght AS SOON as the knock back indicator appears (the yellow arrows on the floor).
Make sure you’re at the 3rd geyser in time for the 3rd knock back because Arms Lenght will only cover the first 2. With this trick, you can stay on the boss until you have to peel to reach the 3rd knock back.
If possible use a gap closer oGCD during the last KB so you don't overshoot the boss. Pray you clear before seeing the 2nd Hydrostasis.
3rd fight (Halone) :
Tetrapagos (telegraphed 4x ice AOEs):
Dodge as you normally would, but make sure you only peel for the middle circle AOE.
EDIT*: According to Weebtext, the middle circle AOE can be max-melee'd.
Doom Spear (3x tower soaks):
Simply chase after her using Sprint or/and gap closers as she jumps from tower to tower. Yes it’s selfish. Just use Feint/Reprisal so can claim you soaked towers ’’in spirit’’ /wink.
Wrath of Halone (Donuts + Proximity AOE):
*For Melee DPS with peeling tools* (Elusive Jump, Hell’s Regress/Ingress, Thunderclap to teammate, Hissatsu: Yaten, Shukuchi)
Stay in max melee range. As soon as the cast bar reaches "of" in "Wrath of Halone", use your peeling tool to dodge the 4th ice ring AOE and get far enough away from the proximity AOE.
*For Tanks *
I haven't tried, but you could use your Ultimate mitigation tool to survive the Proximity AOE. Just make sure to dodge the creeping ice donut AOEs so you don't get frozen for 6 seconds.
Ultimate (Raid-Wide):
After her Ultimate, go to her as she gets he weapon back. As soon as possible, hit her once and immediately run middle where she'll reappear. Easy 1 GCD gain.
4th fight (Menphina):
In general :
Mark the MT and always follow them. Some AOE mechanics (moon aoes) split the arena in half and you don’t want to be stuck on the wrong side.
’’Add phase’’ (4 towers):
I suggest you hold your 2 minute buffs until the adds appear. While you're bursting a tower, keep track of the tower that will die last and try to swap to it seamlessly so you're always hitting something.
Playful Orbit (the one with slippery floor) :
Dodge the proximity aoes while remaining in max melee range from the boss. Check where the wolf will cleave and try to use a single slide to dodge between two GCDs.