Survival of the Fittest has the fight between Rick Holeman and Laeil Burbank in V3, which devolves from a gunfight into a straight up beatdown when both their guns fail, Laeil slips and falls to the ground, and Rick then proceeds to beat her to a bloody pulp. She manages to turn the tables, though, once she grabs hold of her sword.
In Super Mario Bros. Z, as a general rule, when Mecha Sonic appears, someone is about to get their ass kicked in this fashion. The most notable example is probably when Yoshi gets the tar beaten out of him in the third episode.
Psht, forget Yoshi! At least he survived! Sure, the Axem Rangers were kind of a dick troupe, but Mecha Sonic not only wiped the floor with them, but also murdered each one, each time more brutally than the one before, giving us images of him doing things like crushing Axem Green's skull in his hand and disintegrating Axem Red with a Kamehame Hadoken — after first laying into him with Akuma's signature Shun Goku Satsu attack, no less!
After that fight, Mecha Sonic proceeds to wipe the floor with the heroes, and finally creates a massive fireball to destroy Yoshi's Island.
Particular mention goes out to Grif, who undergoes no less than sevenGroin Attacks in one fight scene. Honestly, you could argue the entire fight was pretty much a No-Holds-Barred Beatdown directly aimed at Grif's balls.
Mercs: In "Hijack", Varisa comes upon hacker Tess. Cracking her knuckles, Varisa steps in for the beatdown. She proceeds to be smacked around by Tess in a lengthy montage.
The Spoony Experiment. Spoony gets into a beatdown by Snow who not only leaves him bloody and bruised, but snaps his Gunblade in half. Spoony gives one back of his own by hitting him with anything he can get his hands on before ripping Snow's throat out.