While the above list is arguably top 10 these are other unit nicknames with honorable mention:
Air Coryell
Chargers offense of the late 70s to mid-80s
Over-the-Hill Gang
Redskins team in 70's for their collection of castoff vets. Also called Ramskins in early 70s
The Gold Rush
49ers pass rush in mid-70's
The Silver Rush
Lions pass rush coined after 9ers D in the late 70s
Grits Blitz
Falcons Blitz defense from 1977 to early 80s
11 Angry Men
Raiders defense in the late 60s. Named after the movie 12 Angry Men from the late 50s
Killer B's
Dolphin defense in the early 80's
Electric Company
Bills offensive line in the mid-70s
Mob Squad
Rams defense from 2015-18
Kardiac Kids
Browns come-from-behind team in the 80s. Cardiac Cards (StL) was another similar nickname from the mid-70s
Dome Patrol
Saints LB unit of the 80s
Crunch Bunch
Giants LBs from the early 80s. Later in the 80s became the Big Blue Wrecking Crew
Dawg Pound
Browns defense from mid 80s; name later awarded to fans in the Brown's end zone
House of Pain
Not a team/player nickname, but rather a cool moniker for the Oiler's dome in the late 80s
others:
Legion of Boom, America's Team... we know about these too.
trivia note: Ram's Fearsome Foursome nickname was also used by the Lions and Chargers in the early 60s. Rams became more famous.