Bit Protector Variations

The HMS' Bit Protector's (BP) role is binary. Firstly, it fastens the Running Core to the Attack Ring, sandwiching the Weight Disk between the two and keeping the whole thing together. Secondly, it is what attaches to the HMS Launcher and gives it a close grip so the Beyblade doesn't immediately fall off. BP categorization below is practically identical between both Hasbro and Takara releases. Older releases were generally smaller, newer releases were larger. The only difference among the two brands is that Hasbro's early releases had a "B#" type stamp while Takara was "A#" almost exclusively throughout.

Honourable Mention and Credit: I was at a loss early on, BP compatibility seemed more or less random, and while it still needs to be taken case-by-case, it was only with @4DFury's insight that we came to learn that molds had nothing to do with the ID at the back or specific Beyblades, but everything to do with diameter of a given BP and their era of release. 

Note: It is highly recommended that you use the tightest fitting BPs for your HMS combos as that will greatly reduce the chance for RC prong breakages in battle. BP and RC configurations are best taken case-by-case. In the end, BP Type only helps understand tightness/looseness generally, and specific BP or RCs wear or overall chemistry can vary. Some parts simply work together well, and it can't be quantified succinctly by diameter alone.

First BP Type - Small Mold

Two Small Mold BP: Gaia Dragoon MS' and Advance Eterner's

Second BP Type - Large

Two Large Mold BP: Magical Ape MS' and Shining God MS'

Shooter Change Core BPs

Found in: MA-23 Bloody Devil MS and MA-24 Shining God MS.

Because these two RC's have the WD attached beneath a plastic divider, right above the tip, a Bit Protector casing was made specifically to lock it into place without obstructing the RC's tip. To achieve this, they remade the HMS BP with a hole in the center to create the same kind of locking mechanism present in normal HMS anatomy while also allowing a space for the tip to go through.

Shooter Change Core Alpha and Gamma "BP".

Rubber Weight Core's BP

Found in: MA-19 Round Shell MS.

When you intend to use Rubber Weight Core outside of an HMS customization, and instead in the Running Shooter configuration, this piece comes into play. This configuration has zero practical value for Beyblade at all, it simply allows you to shoot this RC vertically outwards, like a wheel. We don't know why they decided this was relevant.

Regardless, to do this, you would have to remove the AR and BP of Round Shell MS, and instead lock into place the specific Running Mode BP that has the same locking mechanism as a regular BP, but a small pole extending out of it, to allow the Shooter to latch onto both sides of the Rubber Weight Core before revving and launching.

Gyro Mode's BP

Found in: MA-19 Magical Ape MS.

This unique BP is found inside of Magical Ape MS' Gyro Mode. It is meant to lock an HMS AR in place, between a shaft (hence the hole) and bearings. Removing the Gyro AR and the locking mechanism at the Mode's free-spinning tip allows for the dissection of the spinning top, where you will find said shaft and bearings, and be able to put in an AR of your choosing. In terms of performance, whichever AR you pick to place inside will have little impact on the viability of this gimmick top, unfortunately.