I don't know that I would eat all kinds of meats, but I have tried a lot of different one. From land animals, there has been chicken, pork, beef, emu, rattlesnake, turtle, rabbit, bison, deer, lamb, pheasant, quail, and many others I'm sure I am forgetting.
From underwater, there has been a wide variety of critters, too. Alligator, shark, sea cucumber, numerous kinds of oysters, clams, and other shells, halibut, tuna, salmon, lapu-lapu, catfish, trout, shrimp, crabs, lobsters, and many other things I am forgetting at the moment.
I have never tired dog, cat, or other traditional "pet" animals, nor will I. That is where I would have to draw the line.
If someone tells you something tastes like chicken, do not believe it. It just means they have never tried it. All of these different meats have their own unique flavors. Some are sensational, some OK, and others I would prefer not to try again.