After reading through many other posts here it's become clear that as personal-scale weapons, lasers pretty much suck. Heating the surface of something is a poor way to inflict damage.
You've been reading the wrong posts.
A suitably intense laser pulse (may joules delivered in microseconds, or shorter, giving peak powers of many megawatts at a minimum) flashes a small portion of the target into plasma. The plasma expands rapidly, causing mechanical damage to the material around the target spot, eke. explosive vaporization. This tears softer material, fractures harder kinds. The puff of plasma dissipates in an instant (it will be moving supersonically in air, I believe) and a second pulse delivered shortly after the first will deepen and widen the hole. Repeat until you've bored a hole through the target, reached depth limits caused by target materials an optics, or the target moves out of the way.
It doesn't kill by burning the target, but by drilling clean through it. Admittedly, this isn't much like a scifi laser, slicing neatly through things, but perhaps a little more like a scifi blaster, but it isn't quite so far away as you might think. Rayleigh scattering in air is strongly wavelength dependent, so green or blue beams are more clearly visible than red for the same beam power. Bright beams are undesirable (because you want that energy to zap the target, not look pretty) but are unavoidable which is perhaps what you were looking for.
A beam modulated to produce multiple short pulse trains, each pulse train spaced from the next by a brief moment, could be played across the target and drill multiple channels through it, potentially enough together that the remaining material (if any) is insufficiently strong to hold it together. You won't get clean wound edges, and they might not glow, but you have unambiguously just sliced something up with a big ol' glowing beam of death. It'll probably make a loud bang or buzz, though. Not "pew". Sorry.
As much as it pains me to admit it though, lasers do have issues with atmospheric breakdown and so their effectiveness becomes sharply limited in rain, or cloud, or very dusty or smoky air, especially if your enemies can make very tough and highly refractory armor out of some kind of nanotube composite.
a thin (3mm or so) stream of white-hot liquid metal electromagnetically accelerated to hypersonic velocity.
Liquids really aren't very useful as projectiles. Even the nicest, smoothest laminar jet will diverge and deform because you can't perfectly accelerate each particle in the same direction at the same speed and even if you could thermal effects (which will be quite strong in molten metal!) will cause jet-disrupting effects. In order to maximize penetration, you need long, narrow and perfectly straight penetrators, and a swept liquid jet isn't really that. It'll slice an unarmored human in half, but you can do that with explosive projectiles from conventional weapons, too.
If you can produce a hypersonic jet, you're probably just as capable of shooting a rapid stream of needle-like projectiles, too. You can save all the energy you would have used melting the metal and against soft or lightly-armored targets you'll slice em up well enough.
A laser-evacuated vacuum channel will probably collapse too quickly to be of use, though, for any kind of solid projectile. Those things make more sense for shooting fast (eg. > or >> .14c) particle beams through, and whilst those can be glowy beams o' death that can melt things in half, the major problem you (and everyone nearby) will face is the horrendous amount of radiation they'll spray out in all directions to the point where there'll be only a short span of time between people going "ooh" at how awesome and badass you look, and "argh" as fatal radiation poisoning sets in.
Back to the drawing board with you, I think.