Guts possesses as much - if not far, far more - battle experience as Ajax. He has served in the Band of the Hawk for three years; over the course of which the mercenary band never stopped fighting. Hell, in a single battle, Guts was surrounded and isolated against one hundred opponents, and manages to take out all of them. Admittedly, he was severely wounded over the course of the battle, unlike Ajax, but he still managed to defeat almost four times Ajax's number, and this is back before he get's hunted by demonic creatures on a nightly basis.
Actually, I'm thinking Ajax; an actual warrior-king has got to be a little better than a soldier, vengeful or not.
He was a raid leader, and second-in-command of the Band of the Hawks. He started as a regular soldier, sure, but the very fact that he worked his way up must prove his merit.
On the other hand, This guy is a thousand years later than Ajax, with presumably better metals and possibly better health
And a metal arm, a concealed crossbow and a number of small throwing knives. Not to mention his
armour (which, I hasten to point out, does not make him invulnerable. It forces his mind to ignore pain or danger, allowing him to keep fighting until he ran out of blood. Of course, this is at the expense of his capacity to think during battle, which could put him at a major disadvantage against a tactical fighter like Ajax).
That said, Guts is Japanimion, so there goes that.
...is that really the argument you're going with? You're honestly gonna put Berserk - a highly celebrated, multi-decade long saga detailing the rise and fall of a Byronic hero in his struggle against causality - on the same standard as something like
Naruto or some shit? Right. Yeah.
Ajax held off the entire Trojan Army (and Hector) by himself twice without being wounded, and he did so while being the only main character never to get help from a God(dess). I think he can handle one guy, especially considering that Bronze is nearly as good as steel. Guts is also unarmored, and thus his organs are fair game for Ajax's greatspear. (Or chariot-sized boulders, either one.)
I reiterate: beat 100 men single-handed, metal arm, concealed crossbow,
Berserker armour. Not to mention the fact that Guts not only got no help from the gods; he's damn well fighting them. Not exactly winning, to tell the truth, but would you expect him to? I mean, hell, they're gods. Let's see Ajax beat a god. Then I'll say he'd rip Guts apart before he could even raise his eyebrows.
Yeah, Ajax, like Diomedes, Hector, Achilles, and I believe Odysseus, fights by hurling fucking boulders. Sure, Guts could cut them in half, but not when they keep coming.
If it's a matter of endurance, Guts would likely win. If the man can withstand the blows of a minotaur, he can stand to have a few boulders thrown at him.
OH SHIT I JUST REALIZED WHO THIS "GUTS" IS. THERE IS NO WAY HE DOES NOT WIN.
Damn straight, man. Damn straight.