Though the 2 Flame Dragons are really Agatio and Karst transformed, none of you know it at the moment. They are not quite as hard as real bosses and should not take too long to defeat. As usual, Summon at the start of the battle; focus on Mercury Summons. If you went to Treasure Isle and got Azul, great; use it to inflict massive damage on the 2 Dragons. Be careful about them inflicting massive damage on you with Meteor Blow, though. Remember to focus on healing and attacking one of the dragons at a time.
The Doom Dragon is the final boss of GS2. He has 3 heads. Every time you take away 1/3 of his HP, a head will disappear. The Doom Dragon may seem intimidating, but you should be able to beat him easily using my strategy from GameFAQs.
DarthMarth's Doom Dragon Strategy
First, the DD's attacks of note (he attacks 4 times a turn):
=Djinn Blast/Djinn Storm=
These can both seriously mess up your strategy. Djinn Blast puts all the Djinn
of a character on recovery, and Djinn Storm puts ALL your current party's Djinn
on recovery. Luckily, he only replaces Blast with Storm when he is down to one
head. (see below) The best thing to do is try to cope with Djinn Blast when it
happens (he doesn't use it often). Once he is down to one head, kamikaze him
with Summons before he uses Djinn Storm.
=Cruel Ruin=
This is the new version of Outer Space. Once again, it does lots O' damage to
your party. It looks cooler, though. :)
=Haunt=
You may want to make sure you have a way of removing evil spirits caused by
this.
=Curse=
Make sure at least two of your characters can revive.
=Guard Aura=
This is Doom Dragon's version of Flash. It pretty much just makes you waste a
turn.
All right, here is my way of beating the Doom Dragon easily. Here is my team
setup
---Main Team---
Isaac: 4 Mars, 5 Jupiter, all set, has Sol Blade, Hyper Boots, Mythril Helm,
Riot Gloves and Valkyrie Mail
Ivan: 4 Venus, 5 Mercury, including Shade, all set, has Psychic Circlet and
Iris Robe
Mia: 2 Mercury, 7 Mars, including Flash and Tonic, all set, has some Waters of
Life
Garet: 5 Venus, 4 Jupiter, including Granite, all set
---Backup Team---
Sheba: 9 Jupiter, all but one on standby
Felix: 9 Venus
Jenna: 7 Mars, 2 Mercury, both Mercury and 5 Mars on standby
Piers: 9 Mercury, all but one on standby
Here goes: with Isaac, start using Death Leap from the start and don't stop until he runs out of PP (then start using normal attacks, almost certain to be Megiddo due to all his crit. hit increasing items). Never stop using Death Leap/Plunge or attacks with him, ever. Constantly alternate Flash and Granite with Mia and Garet, switching to Ivan's Shade if either of them has to do something else. Because of his PP restoring items, Ivan can cast even Pure Wish every turn. Use Revive or Water of Life if a character is downed (like by Spirit of Death). If an evil spirit grips a character, use Tonic. If Ivan doesn't need to heal during a turn, have him use a Plasma series attack. Keep doing this, trying to regulate yours and the DD's pattern as much as possible (just try to cope if it uses Djinn draining attacks, or restart if you wish), until it kills your first party. It should have one head (BTW, it loses heads as you do damage to it) and sustained lots of further damage by now. If not, you're screwed. Anyway, once your backup GS2 party is staring the weakened, one-headed DD in the face, have them let their summons rip it apart. Especially use Jupiter Summons like Eclipse and Catastrophe. This barrage should kill the Doom Dragon. I hope this strategy helps!