Bandle City vs Targon
Yordles are ageless sprites. Certainly powerful, but the Targonians are gods.
Targon is an easy win.
Noxus vs Freljord
Noxus has a lot of warriors, but aren't even close to Freljord, which has several gods/demigods on its side.
Freljord wins.
Ionia vs Zaun
Ionia's magic puts it on equal footing with Zaun's tech in terms of raw power, but Ionia has a lot more order to it, with an established military and a chain of command, where Zaun is a bunch of individual fighters with gangs here and there.
Ionia wins
Demacia vs the Shadow Isles
The Shadow Isles work mostly with magic. Demacia uses anti-magic petricite.
Demacia wins.
Void vs Piltover
Not even a contest.
Void wins.
Bilgewater vs Shurima
Most of the Bilgewater guys are just regular people. Illaoi has the power of a god, but not the durability. Only Naut can stand up to the Ascended for long, but he's vastly outnumbered.
Shurima wins.
Targon vs Freljord
The aspects still have mortal bodies, while Frejlord's demigods are either immortal (Anivia) or functionally immortal (the rest).
Freljord wins.
Ionia vs Demacia
Petricite beats Ionia's magic.
Demacia wins.
Void vs Shurima
We've seen this play out before.
Void wins.
Void vs Demacia
If Shurima couldn't hold back the void with the help of the ascended, what hope does Demacia have with a statue and a dragon?
Demacians couldn't be corrupted by the void thanks to their petricite, but the swarms would still destoy them.
Void wins, eventually.
Void vs Freljord
Lissandra would immediately defect to the Void side.
Eventually, Lissandra would corrupt Anivia with dark ice. After that happens, the Freljord is doomed.
The Void wins