Can you give me some ideas about famous Units of this kind in military area or some ideas about vehicles or kind of units?
Depending on timeframe...
Desert Storm: The Tiger Brigade under COL Sylvester (a brigade from 2AD) lead the Marines in their assault on Kuwait City (and the USMC gets all the credit, the Army boys got none.) 2ACR fought the famous Battle of 73 Easting.
2003 Invasion of Iraq: 1-64 Armor did the first Thunder Run into Baghdad, followed a couple days later by the whole 2BDE of 3ID on the next Thunder Run. 1st ID (if you're gonna be one, be a Big Red One!) did a lot of the heavy fighting in the 2nd Battle of Fallujah (2004) and again, Uncle Sam's Misguided Children got all the credit...