^^^ Fair enough Dhyer.
Allow me to give this a more in-depth look since it seems that there's some doubt on my passage.
Team MICHAEL | Rika, Arnaud (MT), FFT Chemist, Yulie, Juan
[Floor 1: Starting off Again (Beginning of the game)]
Team MICHAEL vs. Big Joe, Evil Gaia, 10 Jogurts, VP1 Hrist, Euram Barrows, Gobi, A DQ1 Slime, Garland and Igglanova (PS4) - MT Blast handles his, as has been said.
Team MICHAEL vs. Cecil, Kain and Rosa - Okay. By this second fight, a few things should happen, depending on how you view levels in the Dungeon.
Rika should be level 5 or 6, which gives her decent agility. No one else probably leveled much, but here's the thing: Arnaud can learn Slow Down at 14, which according to SI's FAQ is entirely reasonable. So let's go on the assumption that it's possible by this point.
The turn order should be something like Rika>Arnaud>Kain>Cecil>Chemist>Yulie>Rosa (Juan).
Rika hits Juan and wakes him up. Arnaud uses Slow Down, which is reduced by 33%, but should still have a pretty profound impact on the enemies. This probably shoves Cecil and Kain's turns back somewhere. Chemist hits Rosa. Yulie probably also attacks Rosa.
Here's the thing, Juan is Berserked, and even if you only assume he gets one swing, that's a lot more damage than Cecile, Thomas and the others at that point are doing. A Chemist hit, plus Yulie hit, plus Juan hit really ought to kill Rosa.
I guess I don't really see what exactly Rosa is doing in the first place. If she goes for Holy, that has a casting time of 3, Mini has a casting time of 4. For reference, Meteo's was 5 in Easytype (FF2SNES) and 10 in other versions. So, really, if she goes to try and cast a spell, it's going to take a little bit for it to resolve, especially if she's already slow from having Slow Down put on her.
Let's pretend, though, somehow Chemist dies but everyone else is alive for the next fight.
Team MICHAEL vs. Augus and MC Tusk (BoF2) - Okay, so pretend that Rika isn't faster and MC Tusk goes first and whacks her. Rika's turn is then spent on Illusion. The turn order here is probably something like
MC Tusk>Rika>Arnaud>Augus>Yulie. (Juan)
If you assume Arnaud has Slow Down, he uses it on his turn. That probably cuts Augus to behind Yulie. Yulie will then cast Protect on... let's say herself. Augus goes, he probably kills Rika with his first hit. His second hit is on Yulie. It probably doesn't do as much to her because of Protect, so maybe he'll go after Arnaud? Dunno.
Next turn, Arnaud hits Juan and wakes him up. MC Tusk goes and probably attacks Yulie. I think she can survive that based on Protect. So now Yulie goes and Heals herself. Augus hits Yulie again, saves strength.
Next turn, Juan hits Augus. Arnaud casts Blast. MC Tusk hits Yulie again. She heals, again. Augus double-hits Yulie and kills her.
Next turn, Juan hits Augus. Arnaud casts Blast. MC Tusk hits Juan. Augus hits Juan twice and probably kills him.
Next turn, Arnaud Blasts again. That's three (66%) Blasts and two Juan turns. That -ought- to kill Augus. So now it's Arnaud vs. MC Tusk.
If Arnaud has been able to use Fire-based Blast, MC Tusk is probably almost dead at this point.
There are several things that I think swing this in my favor:
Illusion should mean that MC Tusk and Augus miss -something- on someone.
Slow Down means that there's probably a double turn somewhere that ought to be factored into this.
EDIT: One other thing. Yulie has Crisis Speed. That really ought to help me out in regards to her getting turns. If Chemist goes into the final fight dead, that's 1, and if Rika dies, that's 2 stacks of it.
If I missed anything please let me know, but I do think I win, albeit incredibly barely.
EDIT: If you don't see Illusion having an effect on the bosses, Rika will use Saner instead, which may let double turns come more easily in conjunction with Slow Down and Crisis Speed.