I'm on a budget of £700 and I want to be able to play Fallout 4 at 60FPS at 1080p or 1440p. Here is the link http://uk.pcpartpicker.com/guide/YK2Ff7/good-build-guide
This would do far better
PCPartPicker part list / Price breakdown by merchant
You SHOULD be fine at 1080, not sure about 1440... Also you might have FPS drops every now and then but you can lower specific settings if you have too...