只需更改变量 status 到 let status 或者改名。变量 status 是保留关键字，因此需要使用 var , let 或 const 在你的范围之内。

let body = `{"content": {"status": true, "content": [{"name": "Game 1", "status": "1", "icon": "https://example.com/53MGdfgdfgedNjp.bmp"}, {"name": "Game 2", "status": "1", "icon": "https://example.com/53MGdfgfdedNjp.bmp"}]}}`; 

// defining variable status with let
let status = JSON.parse(body);
games = status["content"]["content"];

cIndex = -1;
for(i = 0; i < games.length; i++) {
  if(games[i].name === "Game 2") {
    cIndex = i;
    break;
  }
}

console.log(cIndex);

使用当前代码要实现的是访问嵌套数组。但这是一个对象，您需要使用不同的方法。
工作演示：https://replit.com/@Kallefromposian/object access#index.js

const json = `{
  "content": {
    "status": true,
    "content": [
      {
        "name": "Game 1",
        "status": "1",
        "icon": "https://example.com/53MGdfgdfgedNjp.bmp"
      },
      {
        "name": "Game 2",
        "status": "1",
        "icon": "https://example.com/53MGdfgfdedNjp.bmp"
      }
    ]
  }
}`;

// Parse json string to object
const {content} = JSON.parse(json);

// Custom found index
let cIndex = -1;

// Loop trough content array
content.content.forEach((item, index) =>{

  // Check do we have string named 'Game 2'
  if(item.name === 'Game 2'){

    // Set index
    cIndex = index;

    // Break loop
    return;
  }

});