Here are a list of powers and so on that are not explicitly given to the Federal government in the Constitution, at least in how it was originally ratified:

• The power to establish a national flag
• The power to establish a set of laws dictating how to treat the national flag
• The power to establish a pledge of allegiance to a national flag
• The power to establish a national anthem
• The power to establish any coats of arms or seals for any portion of the government
• The power to grant trademarks
• The power to grant passports
• The power to establish embassies in foreign nations¹
• The power to establish any government websites
• The power to publish the laws passed by the legislature in a public setting
• The power to establish a Department of Justice
• The power to represent itself in any suit brought against it by a private citizen
• The power not to be sued by a private citizen²
• The power to establish a signals intelligence organization, such as the NSA
• The power to establish an organization to combat currency counterfeiting, such as the Secret Service³
• The power to establish an organization to provide bodyguards to the President, such as the Secret Service
• The power to establish a Department of Defense⁴
• The power to establish an organization to aid in inter-state criminal investigations, such as the FBI
• The power to establish a foreign intelligence organization, such as the CIA
• The power to prevent private citizens from acquiring or detonating nuclear weapons
• The power to have an IT department
• The power to launch satellites
• The power to establish and regulate an air force⁵
• The power to write laws making corruption illegal⁶
• The power to compensate any employees of the Federal government aside from the President, Vice-President, judges, and members of Congress⁷
• The power to provide compensation of any sort other than salary to members of Congress et al. such as medical insurance, pensions, or vacation days
• The power to establish national holidays