>>289369
Round Two
Note: I am researching the MGE wikis and entries as much as I can to determine power levels and match up outcomes, but I'm also using http://www.d20pfsrd.com/bestiary/ to also help fill in any blanks if absolutely needed.
Pharaoh vs Vampire: This fight is interesting as they're both magically powerful and the vampire apparently possesses good combat abilities; however, they are weak to sun light and fresh water. Pharaohs, when they awaken, cause springs to overflow with water and, being based off Egyptians, most likely worship the sun, which would probably imply spells based on sunlight? This is a bit of a stretch, but I think I'll give this to Pharaohs. Vampires just have too many weaknesses.
Jabberwock vs Ryu: Again, Jabberwock loses due to not having a sharp mind and the Ryu is far more magically inclined.
Ignis vs Griffon: An Ignis is a simple elemental, and the Griffon is quite powerful. This will either be a short fight with the Griffon quickly dispatching the Ignis, or the Ignis would slowly roast the Griffon. I'm going to give this to the Griffon, but they would definitely sustain some burns.
Baphomet vs Valkyrie: Valkyries are disciplined and specialized in monster fighting, but Baphomets are very powerful. If Baphomets were just a little less powerful, a Valkyrie may have been able to win one on one, but the Baphomet should win this fight.
Dark Mage vs Queen Slime: I believe if given enough preparation time, a Dark Mage may be able to win through the use of some sort of developed anti-slime potion or something, but with nothing but general preparation for a fight, I think the Queen Slime should be able to win just through sheer variance and utility.
Cursed Sword vs Undine: Similar to the Cursed Sword vs Sylph match up. Cursed Sword wins.
Dark Valkyrie vs Wight: Going to give this to the Dark Valkyrie due to its slightly higher general power levels and what monster fighting training they would have gotten. While a Wight is a very high level undead, they're a text book undead lord and should be easy enough to win against consistently.
Echidna vs Titania: While the Echidna does seem to be a regular Lamia with particularly strong fathers, Titania just doesn't specialize much in fighting. Titania though, with just its sheer magical power difference when compared to the Echidna, should win.
Kraken vs Lich: While the Lich is magically superior, the Kraken should win out just due to sheer size and ferocity. This fight would depend on environment, for the sake of simplicity, assume both monsters are operating in some of environment that either is a compromise between both of their optimal environments or is both, just different for each of them.
Dragon Zombie vs Sylph: I'm starting to see a trend of elementals getting their shit packed, but they're just too weak. Stronger than cannon fodder, but weaker than the conventionally strong. The Dragon Zombie probably wouldn't be able to fly during this state, but if the Sylph gets within attacking range of the Dragon, it's over. Zombie Dragon wins.
Inari vs Manticore: Similar situation to Inari vs Griffon, but a less powerfiul opponent for the Inari. Inari wins.
Dragon vs Demon: Both powerful in their own right, indeed as is true with all monsters in their tournament, but the Dragon is very martially superior. Dragon wins.
Ice Queen vs Lilim: I'm pretty sure a Lilim should be able to one hit KO quite a few monsters, but in combat, what really happens? In the old world succubus couldn't win fights for a reason, and the throne of Demon Lord was won on behalf of the current Demon Lord, so really, how powerful are Lilim in combat? I am not sure, but since the Ice Queen and LIlim are both not martially inclined, it doesn't really matter. Lilim has more power, LIlim win.