I believe a battlemaster fighter actually out Nova's a Paladin if you count just the first round and no prebuffs or feats.
How's that? Paladin can use a damage-increase attack spell & then add Smite damage on top! I guess at 11th the Battlemaster has 3x2=6 attacks to the Paladin's 2, but at 5-10 it's base 2 each (4 w AS) and the Pally can load each attack with far more extra damage.