Offshore drilling companies list includes many of the notable drilling companies that operate off of land. This drilling company list includes big names of the largest offshore rigs, those like Nabors and Transocean. These are high profile offshore drill corporations that often come under fire for their impact on the environment. Many of the best known companies that drill offshore are on this list of offshore drilling companies.What companies do offshore drilling? These top companies drill off shores all over the world. Offshore drilling allows us to reach oil deposits off the coast but still within United States waters. What companies drill offshore? Off shore drilling is viewed by some to be a first step towards oil independence. Of course, green technology may take us away from oil as such a necessity one day.