Sorry, not an easy question to answer, especially as I don't really understand the question
Statues etc first...
Are these just record shots - that show what they look like, perhaps for insurance? Or do you want them to look at their best, showing the texture, weathering, patina, you name it? These two requirements are very different, require very different techniques and produce very different results. They are, very largely, mutually exclusive.
If it's just record shots then you need flat lighting, generally 1 softboxed light each side of the subject. Camera must be dead square, looking neither up nor down. Job done.
If the shots are more creative then your normal starting point would be a honeycombed softbox at an acute angle, skimming across the surface. This will reveal the texture. It will need to be as far away as possible, so that the reduction in light from one side to the other caused by the effect of the inverse square law is minimal. Then you simply add a reflector or second light to mitigate shadows, if they are too harsh for your liking. You may of course also need other lights, typically a standard reflector fitted with a honeycomb, to light 'hidden' areas or to emphasise shape or texture.
Paintings and similar... If they are behind glass or if they are oil paintings then your real problem is unwanted reflections. Camera dead square to subject, 2 or 4 lights fitted with softboxes, again at a distance to produce even illumination, at equal 45 degree angles. Use a polarising screen to reduce reflections further. And have a large black curtain/board behind the camera too. In a perfect world, you would use a 5" x 4" monorail camera with plenty of horizontal shift, so that the camera isn't actually in front of the glass or oil painting but still produces the same result as if it were.
Oh, and a MacBeth color checker, you may struggle to get the colours right without it.