JSFiddle - React, Tailwind, and code Playground

JavaScript

var myData = {
   "result": "success",
   "theBox": {
      "Brands": [{
         "lastPublishTime": null,
         "id": "e054e3d5-143c-4eab-9fc2-7740edce7d09",
         "lastUpdateTime": "09:42 Sun Apr 27 2014 BST",
         "name": "Brand A"
      }, {
         "lastPublishTime": "09:42 Tue Apr 29 2014 BST",
         "id": "402f3c42-3d8d-45d6-8c50-c5d1b5025c23",
         "lastUpdateTime": "09:42 Sun Apr 27 2014 BST",
         "name": "Brand B"
      }],
      "Products": [{
         "lastPublishTime": null,
         "id": "db35610c-3148-4b89-856c-66f907206037",
         "lastUpdateTime": "09:42 Sun Apr 27 2014 BST",
         "name": "Product 1"
      }],
      "OtherStuff": []
   }
}  
var x = Object.keys(myData.theBox)
for (var i=0; i < x.length; i++) {
    var nodesCount = myData.theBox[x[i]].length;
    for (var j=0; j < nodesCount; j++) {
        alert("Name :" + myData.theBox[x[i]][j].name);
    }
}