The problem in the first photo is that parts of the cat are lit by direct sunlight while much of it is in shade. You can't choose one exposure that will handle both lighting conditions for a correct exposure. If you expose for the highlights the rest of the cat will look too dark. If you expose for the shade you will blow the highlights, as you have done.
What you need to do is to reduce the difference in lighting intensity upon the cat. There are many options....
- Use fill flash to brighten the shadow areas;
- Use a reflector to bounce some light back into the shadows;
- Place a shade over the cat so that there is no direct sunlit hitting the fur;
- Wait till the cat moves into the shade;
- Shoot from the sunny side of the cat rather than the shaded side;
- Change your shooting angle so that the sunlit parts form no more than a bright "halo" around the edges of the cat, rather than great big patches of blown white;
- Wait for some cloud cover to soften the light on the cat;
Failing any of those things, shoot raw and set an exposure to just blow the highlights slightly. Then use your raw editor to pull back the highlight detail and fill the shadows/midtones.