If you want to kill fewer animals eat a meat only diet. Grass fed only. Seriously.
Anyone who works on a farm knows that growing crops kills massive amounts of animals. Mice, shrews, voles, baby birds, fawns, toads, salamanders, snakes, and millions of insects and lower forms of animals are killed when you plow, seed, mow, cultivate, and harvest plant crops. I've seen all of those killed on my farm, which is a vegetable only operation. That happens whether you farm organic or not, big or small. Animals die. A lot of them. And you have to keep killing a few (mice, rats, squirrels) to keep your crops safe after harvest.
Now if you eat grass fed beef, you only kill one animal, and the land that feeds that animal is a nice environment for all those animals that would be killed if that ground were under cultivation.