Hand plane blades and chisels:
A series of diamond stones. I highly recommend the Veritas Deluxe Honing Guide Set for setting and maintaining the bevel angles.
https://dmtsharp.com
http://www.veritastools.com/Products/Page.aspx?p=144
Hand Plane Irons (the bottoms of hand planes):
A flat piece of granite and sandpaper. I sometimes use this method to flatten the backs of hand plane blades.
High Speed Steel (HSS) Turning Tools:
Grizzly wet grinder with Tormek jigs (TTS-100, SVD-186, SVS-50, and SVS-38)
http://www.grizzly.com/products/Grizzly-10-Wet-Grinder-Kit-Anniversary-Edition/T10010ANV
https://www.tormek.com/usa/en/kits/tnt-708-woodturner-s-kit/
https://www.tormek.com/usa/en/grinding-jigs/svs-38-short-tool-jig-svs-32/
Carbide Turning Tools:
I bought replacement carbide tips, but haven't needed them yet. I plan to try sharpening the old tips by flattening the backs on diamond stones, but I have been told that it does not work that well.
Example carbide tip for one of my tools:
https://www.rockler.com/full-size-square-radius-carbide-replacement-cutter-sr2
Pocket Knives:
Various old whetstones, some dry, some with honing oil. Some are old "Arkansas" whetstones.
Kitchen Knives:
A "Crock Stick" sharpener uses two ceramic rods shaped in a "V". The rods insert into holes in the wood storage base. Easy, fast, works great.
Q and A:
Q: Why do you have so many different ways to sharpen things?
A: Historical reasons. I acquired the various sharpeners over decades. Most of the time, I bought the sharpener when I got the tool that needed it. I bought the Grizzly wet grinder when I got HSS turning tools and needed a way to sharpen the rounded edges.
Q: Why sharpen your hand plane blades and chisels on diamond stones when you have a Grizzly wet grinder?
A: Good question. I bought the diamond stones before the Grizzly wet grinder, and I still need the diamond stones to flatten the backs of those tools. Furthermore, I have not yet decided whether I want to put a hollow grind on my hand plane blades and chisels. It would save a lot of time to use the Grizzly. There is no reason not to switch, other than pride, wanting a flat grind, and perhaps a sense of tradition.