Blair MacDougall. Searching for a list of offshore drilling companies because you are looking for employment in a offshore oil rig? Have you ever tried the big boys like Shell and BP, etc? No results, or don't want to try them for reasons unknown?…Blair MacDougall. Searching for a list of offshore drilling companies because you are looking for employment in a offshore oil rig? Have you ever tried the big boys like Shell and BP, etc? No results, or don't want to try them for reasons unknown?WWWW…