Map and filter an array at the same time

You should use Array.reduce for this.

var options = [
  { name: 'One', assigned: true }, 
  { name: 'Two', assigned: false }, 
  { name: 'Three', assigned: true }, 
];

var reduced = options.reduce(function(filtered, option) {
  if (option.assigned) {
     var someNewValue = { name: option.name, newProperty: 'Foo' }
     filtered.push(someNewValue);
  }
  return filtered;
}, []);

document.getElementById('output').innerHTML = JSON.stringify(reduced);

<h1>Only assigned options</h1>
<pre id="output"> </pre>

Alternatively, the reducer can be a pure function, like this

var reduced = options.reduce(function(result, option) {
  if (option.assigned) {
    return result.concat({
      name: option.name,
      newProperty: 'Foo'
    });
  }
  return result;
}, []);

Since 2019, Array.prototype.flatMap is good option.

options.flatMap(o => o.assigned ? [o.name] : []);

From the MDN page linked above:

flatMap can be used as a way to add and remove items (modify the number of items) during a map. In other words, it allows you to map many items to many items (by handling each input item separately), rather than always one-to-one. In this sense, it works like the opposite of filter. Simply return a 1-element array to keep the item, a multiple-element array to add items, or a 0-element array to remove the item.

Use reduce, Luke!

function renderOptions(options) {
    return options.reduce(function (res, option) {
        if (!option.assigned) {
            res.push(someNewObject);
        }
        return res;
    }, []);   
}