ExxonMobil, Chevron, and Williams Companies are the three Oil stocks to watch today, according to MarketBeat’s stock screener tool. Oil stocks are shares of publicly traded companies involved in exploring, producing, refining, transporting, or selling oil and related energy products. Get alerts:ExxonMobil (XOM)ExxonMobil Corporation engages in the exploration and production of crude oil and natural gas in the United States and internationally. It operates through Upstream, Energy Products, Chemical Products, and Specialty Products segments. The Upstream segment explores for and produces crude oil and natural gas.