That's a good list but may not be necessary all at once if you are willing to do a little monitoring?

A new battery is nice, but they often give lots of warning before dying so I wouldnt toss one in without any symptoms, IMO.

Fuel pump, yeah, that's harder to predict. It's not so bad a hit nowadays since the pump is now available separately. A Pierburg or Bosch pump will last a good long time. I suggest doing the fuel filter at the same time.

A cooling system overhaul would be great, as parts like to die one after the other if replaced piecemeal. It's pricey though. Dont forget the heater lines.

Fresh fluids are always a good PM move if you dont know the history of the car. Engine oil, diffs, transfer case, coolant, and power steering. There is some debate on doing the tranny if it is still on factory fill at this mileage. Some prefer to leave it alone. You might want to do some research on your own for this.

Check plugs while you have the hood up, and oil leaks in the plug galleys or around the valve cover as the gasket is a common failure part.

The cabin filter is a commonly overlooked part, and I'd do the engine air cleaner too.

Sorry, I know that's more than 5 lol! If you can get its service history, that can pare the list down a lot.

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04 X5 3.0i auto
03 X5 4.6is