Sarisio: And I started playing Agarest 1 by side with Agarest 2. On boss battle at Zelzagun Fortress, I am not sure how do I feel about my "0 death" self-imposed challenge, I started 1st turn with 2 out of my 5 characters being already killed (my toughest characters, they were overkilled by 3+ times their health!). I never had such jaw-dropping moments in any game (I won fight but at big price, I think I will re-try the fight again). On other hand, this boss looks so handsome, I bought 1st Agarest just because of him (I think he later joins as playable character), screenshot attached.
In the original Etrian Odyssey, some of the postgame bosses can hit your party for around 3k elemental damage (your HP caps out at 999). In Etrian Odyssey 2, due to the way the damage formula works, if your defense is low you can take 5 digit damage. (Then again, in testing, I managed to get my Medic to do enough damage to cause integer overflow.)
From what I have heard, Shin Megami Tensei: Digital Devil Saga has a ridiculously powerful new game+ only boss who starts the battle by hitting your party for 5 digit damage (again, HP cap is 999). Furthermore, the boss summons other enemies, and if you kill one, the boss uses that attack again. Even worse, if you don't kill any of the summons for long enough, one of them will cast Recarmdra (kills caster to fully heal the rest of the party), fully healing the boss and prompting the use of the attack again. (That last case, if it happens, means it's time to reload.) Therefore, you *need* Endure (survive fatal blow with 1 HP) and the ability that makes you invincible while asleep; furthermore, you need someone in your party to be affected by sleep. (I have not played the game (though I own it), so I haven't fought the boss.)
Then Dragon Wars has an enemy you are not meant to fight. That enemy did 14 damage to the whole party, which was enough to trigger a game over. (If you run into this battle, you did something wrong. Hint: The boss starts 150 feet away and isn't the only enemy in that fight.)
If you want to see ridiculous damage numbers, there's also the Disgaea series. In the post game, stats get really high. In videos of Disgaea D2's ultimate super boss, billions of damage were thrown around like they were normal. Even earlier games in the series get to the point where the game starts using the letter 'K' meaning 1,000 (or the kanji 万 with the reading "man" meaning "10 thousand" in the Japanese version).