The canonical way to execute a collection of promises serially is through Array.prototype.reduce:

  let finalResult = promises.reduce((current, next) => current.then(next), Promise.resolve());

(I've used ES6 syntax, but you can do this in ES5.1 as well. You can also substitute Promise.prototype.then.call for the arrow function.)

The beauty of this one-liner is that it works with any promise-like object: you don't need to use BlueBird, you don't even need to use a uniform promise implementation, it'll work with anything that follows the Promises/A+ spec.