From the Super Mario Wiki
A Bull's-Eye Blaster, also referred to as simply Bill Blaster, is a type of Bill Blaster that fires Bull's-Eye Bills. Bill Blasters shooting the player-seeking Bullet Bills were distinguished from ordinary black ones in varying degrees until Captain Toad: Treasure Tracker, which established a consistent appearance.
Super Mario Bros. 3
Super Mario World 2: Yoshi's Island / Yoshi's Island: Super Mario Advance 3
Red Turtle Cannons capable of firing red Bullet Bills are unused in Super Mario World 2: Yoshi's Island; however, they do appear in Yoshi's Island: Super Mario Advance 3 in the final secret level, Endless World of Yoshis. Like green Turtle Cannons, they are fixed in two directions, unlike yellow Turtle Cannons. Like the game's other Turtle Cannons, they do not have their usual skull icon. This is the first game to color-code them red.
New Super Mario Bros. Wii
In New Super Mario Bros. Wii, black Bill Blasters that shoot Missile Bills appear in World 9-3. In this appearance, they are mostly taller constructions in pits and are somewhat obscured by fog (which can be temporarily cleared via Spin Jump).
Captain Toad: Treasure Tracker
Red Bill Blasters appear in Captain Toad: Treasure Tracker, where they appear to be their modern iteration as they are differentiated from black Bill Blasters.
Yoshi's Woolly World / Poochy & Yoshi's Woolly World
In Yoshi's Woolly World and its port, red Bill Blasters appear in Knot-Wing the Koopa's Sky Fort. The ones in alcoves only fire in one direction, but the ones hanging on the ceiling point themselves at Yoshi. They have a similar appearance as the red cannons in the previous Yoshi game.
Super Mario Maker series
In Super Mario Maker and its port, they appear when the player shakes a Bill Blaster, where they are red once again. If any other enemy or item is placed inside one, it will fire that element indefinitely at a faster speed than normal Bill Blasters do. In all styles except New Super Mario Bros. U, their skull icon gains angry eyes and devil horns, slightly resembling Bowser. They return in similar capacity in Super Mario Maker 2, where they receive their current name. In the Super Mario 3D World style, they shoot Cat Bullet Bills. The skull also gains cat ears to show this.