From my experience with these materials, it's hard to pick an absolute favorite. The G10 on production folders is often peel ply, which means they put a sticker on its surface when they press it, which imprints the pattern into it. It is then peeled off the finished knife, and voila. I think that is what most people think of when they hear G10. It's also usually pretty thin, between say 1/16" for small knives and 1/4" for your big beefy Cold Steels. I don't mind this style of G10, and I used it a few times on fixed blades I made, but in the end I found it limited my creative capacity and what I could do for grip and ergos, as I was trying to preserve the texture. Now I prefer to contour the scales and apply my own texture with hand tools. G10 is very easy to work and finish. When done as I do it for my knives, I don't think it feels cheap or plasticky as people often say about the G10 on production folders. G10 is nonconductive, and impervious to the elements. If well finished with texture, and to a low grit (say 220), it is in fact quite grippy, and comfortable, and I even have found it to be more grippy when wet. I think that is due to the fact I do not polish my handles to a high glossy finish. I believe it is a fantastic knife handle material.
Micarta is a little bit lighter in weight than G10. It is grippier at the the same finish, with canvas (or burlap) Micarta being the grippiest, linen Micarta next, and paper Micarta not much grippier than G10. Each of these has its own distinct look and feel, and all are gripper when wet. Also nonconductive, and perhaps more so than G10 as far as heat. Impervious to the elements, and easy to clean after it has become dirty. Micarta can feel "soft" in the hand, not because it is soft per say (though it has more flex than G10 at the same thickness), but due more, I think, to the fabric texture of the material. A little harder to work than G10, due to the fabric fibers. But it is also a fantastic material.
SureTouch is G10 with layers of rubber in between. This is pretty amazing stuff. It feels a bit lighter than regular G10, though maybe still a tiny bit heavier than Micarta. But when the handle is contoured and/or textured, exposing some of the rubber layers, you end with a handle that is gripper by far than regulars G10 can ever be, and gripper than Micarta. Also, because you have rubber layers in between, you have some shock absorption, which lends itself to choppers, and it also has a slight give to it; whereas straight G10 is very hard and firm, a suretouch handle feels "soft" in the hand, or "squishy", if you will, but not in a bad way, but so very subtly. It's noticeable enough that a SureTouch handle is, in my opinion, dramatically more comfortable than a G10 or Micarta handle of the same finish and geometry. I have been leaning toward SureTouch as my favorite material lately. In my opinion, it is hands down the best choice for a chopper. It's also a bit more expensive than regular G10.