The Rubbish Video Game Character Police were a joke mentioned by Rare. The idea was that the force arrests video game characters who have no purpose in a video game. According to Rare, the known people they have arrested were the tutorial enemies; namely Topper, Bawl, Colliwobble, and Quarrie, as they have not been needed in future games since then, except for cameos in Nuts & Bolts.
They jokingly said they also apparently arrested Brentilda and Tooty, the latter due to being a walking plot device with no other purpose. Despite this, Tooty later appears as a cameo in Super Smash Bros. Ultimate's "Spiral Mountain" stage, likely making this subject non-canon.