Self-publishing print on demand (POD) services like KDP Print and IngramSpark offer two papers: White and a slightly thicker "creme" paper. It's quite nice - I used it for a fiction series - and the cost is not much more than white. But it's not the same grade as the Bible paper you mentioned.
If you work with an offset printing service you can do a short run on whatever kind of paper you like but the cost will be more for smaller orders of 250. At 500 you start to see economies of scale that rival POD costs but you have to take shipment of hundreds of books and store them somewhere.
If you work with an offset printing service you can do a short run on whatever kind of paper you like but the cost will be more for smaller orders of 250. At 500 you start to see economies of scale that rival POD costs but you have to take shipment of hundreds of books and store them somewhere.