Agility is still limited by how fast commands can be sent and received though the mech, which is in turn limited by the speed that electricity can be sent though wires. It is also limited by the speed that whatever is used to move the mech (be it muscle-like structures or hydrolics) can respond to these commands. Then there's the whole mass thing; remember that mass increases by the cube, so if you double the size, you increase mass by nine times. Bottom line is that the bigger you are, the slower you are. Precision like that required in any kind of martial arts becomes simply impossible, and never mind the whole ballet . .. .. .. . that the latest Gundams pull off..
True, Mechs wouldn't be able to kung-fu. But I didn't say kung-fu, and sure it may be a bit hard to dodge a incoming shell but by the time they make a mech like 3 or 4 they would have gone far with hydrolics and would have found ways to overcome the mass thing, at least a bit. And nontheless, 3, 4 and 5 would still be more agile then 1 and two, unless they moved like slow motion fat men, but if they were that slow they wouldn't have been made.
Even in New York City, it would be more economical to use ammo-based weapons to destroy buildings. Taking down a building requires a lot of energy, and those skyscrapers are made of steel-reinforced concrete. Punching one of those things would cause some serious damage to any mech, assuming it even had enough power to do more than superficial damage. It would be much cheaper and easier to just give the mech more ammo and let it rip loose. The engineering behind equipping them with melee weapons makes it impractical anyway; the articulations required to properly swing a sword is very complex. More complexity means a greater chance for failure. Picture #2 is the most realistic of the group, as it minimizes exposure to fire because of its size and employs simplistic "arms" to carry its weapons, nothing more. Besides, if you have no ammo and your enemy does, you're pretty much screwed anyway, sword or no sword.
True, true, but sending sword men at lowbowmen isn't vert bright either, didn't stop them from doing it. One, if a mech like 3 or 4 was not able to punch a hole into the empire state building then it should the hell wouldn't be build. I am sure a tank, going a bit fast, maybe, would be able to drive a hole into the ESB, now a mech would be made out of a the same if not stronger metal then a tank, it would also be able to move it's arms at a considable speed, for moving it's heavy weapon around at a speed where it would easily be able to hit a moving target, at would also be able to take a considable amount of force, to be able to take a hit from a tank shell, these things are what it would need to put a hole a building, no matter would it is made of or how thick, and it's fist would be a big, big hitting thing.
Another thing. A mech would be built to take hits from almost anything on the battlefield aside from nukes, why? Cuz' their so big that they would be hit by everytime dozens of times in a row, and would have to be able to do that while still working and firing. So, running up to another mech with a sword, while taking hits from it, would not be that bad an idea, due to the fact that hiting a mech with a sword might do more damage then a shot, these swords are being wielded by mechs that have considable power behind their swings, and since their one and the same(the mechs) at would be like hitting the mech with itself when attacking with a sword or melee weapon.
And it doesn't matter how much ammo you have when you're in the middle of enemy lands, one, you'd like to save your ammo and not use it on pointless destroying and two, once your out, their ain't any reloads coming.
Oh, and one last thing, a mech would be made like a gundum for the same reason a robot would be made like a NS5(if you watched IRobot, if not then it looks like a human)


Any mechs? Come on, someone must have made something?