There are many different intelligence agencies, each with a specific purpose and under different departments of the government.
The Director of National Intelligence oversees all 17 intelligence agencies. James Clapper was DNI under Obama, March 15, 2017, Dan Coats was confirmed.
Michael K. Atkinson was nominated by Trump to be inspector general of the Intelligence Community, Office of the Director of National Intelligence on November 2, 2017.
The FBI (Federal Bureau Investigation) only investigates crimes on US soil and provides information to the Justice Department (Attorney General and US Attorneys) to prosecute the crimes. Until May 9, 2017, James Comey was Director.
Christopher Wray became the replacement, a federal prosecutor who served as NJ Gov. Chris Christie’s criminal defense attorney during “Bridgegate” and “his law firm — King & Spalding — represents Rosneft and Gazprom, two of Russia’s largest state-controlled oil companies…Rosneft was prominently mentioned in the now infamous 35-page dossier prepared by former British MI6 agent Christopher Steele. The dossier claims that the CEO of Rosneft, Igor Sechin, offered candidate Donald Trump, through Trump’s campaign advisor Carter Page, a 19% stake in the company in exchange for lifting U.S. sanctions on Russia. The dossier claims that the offer was made in July while Page was in Moscow. Rosneft is also the company that had a $500 billion oil drilling joint-venture with Exxon in 2012, when Secretary of State Rex Tillerson was Exxon’s CEO. However, the deal was nixed by President Obama in 2014, when he imposed the sanctions that crippled Russia’s ability to do business with U.S. companies. The lifting of sanctions by the Trump administration would enable Exxon to renew its joint venture agreement with Rosneft, and the law firm of King & Spalding could end up in the middle of the contract negotiations between those two companies. The law firm’s representation of Gazprom raises even more serious conflict issues for Wray. Gazprom was a partner in RosUkrEnergo AG (“RUE”), which is controlled by Ukrainian oligarch Dmitry Firtash. He is under federal indictment in Chicago for racketeering charges, has had numerous financial dealings with former Trump campaign manager Paul Manafort, and is generally considered to be a member of Russian President Vladimir Putin’s inner circle” USA Today
January 29, 2018: NBC News: Andrew McCabe resigns as FBI deputy director By Ken Haddad
The CIA (Central Intelligence Agency) has jurisdiction outside of the United States and works with the International Intelligence community to track dangerous people and everything else we see at the movies. Mike Pompeo is the Director.
The NSA (National Security Agency)
Navy Adm. Michael S. Rogers became Director of the NSA, Commander of the US Cyber Command (USCYBERCOM) and Chief of the Central Security Service (CSS) on April 3, 2014. On November 19, 2016, Defense Sec. Ashton Carter recommended he be removed for poor performance and James Clapper thought it wise for the head to be a civilian. Trump considered Rogers for head of the DNI but that went to Dan Coats. “His testimony Tuesday has sparked additional interest in the wake of reports that Trump asked him along with Director of National Intelligence Dan Coats to publicly deny evidence of cooperation between his campaign and Russia after then-FBI Director James Comey revealed in March that the bureau had launched a probe into alleged collusion.” Who is Mike Rogers? on CNN