Japanese Train Route Finder By Jorudan Co.,Ltd.

You want cheap or fast? Put in narita airport (dont forget thr airport or it will give you the town of narita) and haneda in the above website and it will spit out lots of options. The cheapest i saw was 1600 yen and took 2 hours.

One option was 3000 yen and took 90 minutes.
Have fun