Exxon earned nearly $56 billion in profit last year, the biggest annual profit any Western oil company has ever seen. Chevron set its own record with $35 billion in profit.
Major energy companies have reported a surge in profits in the first three months of the year as oil prices have rallied.
Total Energies and Chevron say they are stopping all operations in Myanmar, citing rampant human rights abuses and deteriorating rule of law since the military overthrew the elected government.
A set of events shook the oil world this week: A tiny shareholder won a battle with Exxon, investors put pressure on Chevron and a Dutch court ordered Shell to slash emissions.