Congress would have to vote on giving approval for each new drug, not the FDA's bureaucrats.
Congress would have to vote on each individual edge case for welfare programs (SNAP, Social Security, Medicaid, etc), not their respective agencies.
Congress would have to vote on which individual people get Pell grants, how much, and how much their parents are expected to contribute to their university schooling, not the Department of Education.
Congress would have to vote to approve contracts for every federal agency.
The federal government would not function without some degree of delegation.