Big suppliers have their own vendor list. They are shared with contractors before order so it is agreed upon.
Sometimes supplier's and contractor (client more generally) vendor lists conflict, so it needs some discussion rounds (procurement and commercially wise). The outcome may impact delivery and price. In general, the supplier aligns to client but keep at least two suppliers so there is competition. Otherwise it is single sourcing, and there may need to be some 'frame' agreement in place.
For long lead items, etc. usually qualified manufacturers are 'known'. For valves, control systems, small items, it varies a lot.
Also all big companies have qualification procedures, so a vendor A is kept in vendor list only if they satisfy the (re)-qualification process, audit, etc. Some suppliers have very demanding criteria. I also have to say, there is a lot of politics involved.
If I would try to obtain a list of serious vendors, I would try to obtain (unformally!) a vendor list of a oil and gas big major - just as a point of reference. But copying the vendor list for the sake of building one from scratch does not make sense to me. What works for company A does not necessarily mean success for company B. So much lessons learned, red flags, recorded incident, non conformities and those sort of things participate to the supply chain process.
Life is not about waiting for the storm to pass. It's about learning dance in the rain.