WASHINGTON — The White House budget office has drafted a hit list of programs that President Trump could eliminate to trim domestic spending, including longstanding conservative targets like the Corporation for Public Broadcasting, the Legal Services Corporation, AmeriCorps and the National Endowments for the Arts and the Humanities.

Work on the first Trump administration budget has been delayed as the budget office awaited Senate confirmation of former Representative Mick Mulvaney, a spending hard-liner, as budget director. Now that he is in place, his office is ready to move ahead with a list of nine programs to eliminate, an opening salvo in the Trump administration’s effort to reorder the government and increase spending on defense and infrastructure.

Most of the programs cost under $500 million annually, a pittance for a government that is projected to spend about $4 trillion this year. And a few are surprising, even though most if not all have been perennial targets for conservatives.

Mr. Trump has spoken volubly about the nation’s drug problems, yet the list includes the White House’s Office of National Drug Control Policy, which dispenses grants to reduce drug use and drug trafficking. And despite Mr. Trump’s vocal promotion of American exports, the list includes the Export-Import Bank, which has guaranteed loans to foreign customers of American companies since the 1930s.