Godlike
Procyon (Shadow Hearts: From the New World) vs Protea (The Wizard of Oz: Beyond the Yellow Brick Road): OHKOs with Magic Charge Ice Ball.
Heavy
Sabin Rene Figaro (Final Fantasy VI) vs Estelle Bright (The Legend of Heroes: Trails in the Sky): Yeah, I don't think it even matters what Estelle view I use. Which is good because I don't know.
Middle
Nergal (Fire Emblem: The Blazing Sword) vs Jiro (Blue Dragon): Heal until corporeal, I would think. Use Previve first turn to withstand a doubleturn.
Tio (Grandia II) vs Cryogonal (Pokémon): Yeah, Tio barely outspeeds Cryo first turn, and does 78%. But... Cryogonal uses Acid Armour, and Tio not nearly as fast turn 2 apparently, so she only outspeeds again if she uses Lotus Flower, which only does 20%. So Cryo heals for 50. Tio can now use Fast Dance and double with Lotus Flower, but even that combination only does 59%, which isn't fatal. From here Cryogonal controls the fight. Very, very close so I might be missing something, and obviously changes if you have any less respect for TB speed than me since uh Cryogonal is 120.6% speed beating out Tio's second turn at 120.5%. EDIT: Sure, see Dhyer.
Stantler (Pokémon) vs Black Mage (Final Fantasy Dimensions): Isn't OHKOed, uses Break/etc.
Light
Tim Rhymeless (Wild ARMs 2) vs Lymle Lemuri Phi (Star Ocean: The Last Hope): Lymle can go for silence, but it's really, really slow, such that Tim is faster and may land instant death first (less accurate, but going first helps should more than offset that, it's only 45% vs. 40%). If Lymle goes for offence instead... she only 3HKOs, or 2HKOs with Mindflare. So... Mindflare first, then heal-lock. She almost OHKOs, so Tim needs full healing, and instant death won't come fast enough here (only two shots isn't good enough for me). So Tim MUST open with a physical to build FP, then needs to use full healing from there. But that might work, if Justine OHKOs? And by my count, it... barely, barely does? Lymle won't double him before then (or quickly at all). Lymle can try to heal-lock with something weaker but that allows First Aid so probably not. So... the only problem left is that Tim has to "guess" correctly to start the fight: if he opens with an ID attempt he loses if Lymle goes for damage, and if he opens with a physical he loses if Lymle goes for status... maybe? He does still have a shot at Condition Green, but Lymle can win with Silence x2, Mindflare, two turns of offence, which if the first is weak doesn't give Tim enough time to get there. So... it's a guessing game. Both MAY win if they lose the guessing game by going for status when they shouldn't, that probably roughly offsets. Not really seeing a great tiebreaker. Anyone?
Thief (Final Fantasy Tactics) vs Camille (Celestian Tale: Old North): Probably.
Delibird (Pokémon) vs Mack (Lost Odyssey): Has various healing/buffs he can use opposite Fly turns, which helps tilt the fight if Delibird's awful stats didn't. (And if you don't allow Fly... yikes.)