The War Powers Resolution (WPR) of 1973 sets a 60-day limit for U.S. forces in hostilities without a formal declaration of war or congressional authorization, allowing for a potential 30-day extension for withdrawal, totaling 90 days, after which the President must remove troops.
Examples of bombings/ground invasions using WPR without congressional AUMF:
Invasion of Grenada (1983) (7,300 US troops, 19 KIA)
Invasion of Panama (1989) (27,000 troops, 23 KIA)
Airstrikes on Libya (1986) (and 2011) [Obama administration argued they did not need Congressional authorization because the operations did not constitute "hostilities" as defined by the War Powers Resolution. Therefore, they argued, the 60-day clock never started.]
Kosovo Air Campaign (1999) [The bombing campaign lasted 78 days in violation of the 60-day limit]
The Mayaguez Incident (1975)
Syria Missile Strikes (2017 & 2018)
Assassination of Qasem Soleimani (2020)