Again map through the inner elements present in the result[item].

   return (
        <React.Fragment>
            { Object.keys(result).map((item, i) => (
                <div key={i} className="report">
                       {result[item].map((media,ind) =>
                         <div key={ind}>{media.name}</div>
                      )}
                </div>
        ))}
        </React.Fragment>
    )

Create a mapper object that maps your json keys to custom keys and use that object to render

const mapper = {
   kills: "Solo Kills Total"
}

{Object.entries(stats1).map(([key, value], i) => {
  return (
   <Text> {mapper[key] ? mapper[key] : key} : {value}</Text>
  )
})}

you can only map through an array. You are mapping through stream.results which appears to be an object. You need to use another option to loop through the objects properties to get to the values. There is a few ways you can achieve this and what is going to be best will be dependant on your scenario and exactly how you want to display the data.

for in loop, Object.keys(yourobject), Object.entries(yourobject) and Object.values(yourobject) are all options for getting into objects and extracting specific data. You need one or a combination of those to get your information.Play around with those in the console and read up about them on MDN If you get to an actual array, you can map that.. ex rent and buy can be mapped.

Use Object.entries method:

const petList = Object.entries(fido).map(([key,value])=>{
  return (
      <div>{key} : {value.toString()}</div>
  );
})

value.toString() for boolean types to render correctly

When calling Object.keys it returns a array of the object's keys.

Object.keys({ test: '', test2: ''}) // ['test', 'test2']

When you call Array#map the function you pass will give you 2 arguments;

1. the item in the array,
2. the index of the item.

When you want to get the data, you need to use item (or in the example below keyName) instead of i

{Object.keys(subjects).map((keyName, i) => (
    <li className="travelcompany-input" key={i}>
        <span className="input-label">key: {i} Name: {subjects[keyName]}</span>
    </li>
))}