On a regular basis I consult for a knife manufacturer who uses various layered materials such as the fabric-reinforced phenolic(s) pictured at the top of this thread (they also use natural materials such as antler, fossil ivories, fossil bone, etc.).
The reason knife handles look so good is due to the shaping of the handle itself; the raw material is about as mundane as it comes. In a round-turned configuration - regardless of grain orientation - it's going to look kind of like plywood turned into a tapered cylinder. In other words, BORING.
I'm pretty sure I was the first cuemaker to build a Damascus Steel joint on a cue. I had a rough bar forged up by a well-known blade maker, and one of the things I specified was a very rippled and twisted layup. Had I not done that it would have looked like a stack of sheet metal layers "glued" together, and would have sucked. Because it had such an interesting grain pattern I acid etched the joint collar, thereby removing some of the high-carbon steel while leaving the chromium steel untouched. I then had it heavily gold plated and buffed the plating off afterwards. The deeply etched steel retained its gold layer while the other layers polished to a bright silver appearance, and the joint came out looking like a million bucks - which is what I wish I had charged for the cue...
Unless you can get someone to lay up phenolic the way they can lay up Damascus Steel, (or Mokume, or...?) I'd say forget about getting it to look like the knife handles pictured in this thread.
TW