Common Weight Disks
Listed here are the three starter stock weight disks. In comparison to plastics that had a myriad of weight disk options, HMS' list is considerably smaller, only bolstered by the multiple plastic accessories (Customize Weight Disks) released in the second half of production.
Circle Heavy
Weight: ~16g.
The first Weight Disk released, with Gaia Dragoon MS. This weight disk has all of its weight concentrated in its small perimeter. This weight disk is the heaviest of original the bunch, earning its name, and along with the fact it is so small, can serve niche uses. Because of these two qualities, Circle Heavy finds a place in certain Attack and Compact customs where a smaller yet weighty Weight Disks are preferred, such as with Jiraiya Blade (to expose all its contact points nicely) or Metal Ape (to centralize weight in a small package). If you lack a CWD Defense Ring, this is a suitable alternative.
Potential Combos:
AR: Jiraiya Blade
WD: Circle Heavy
RC: Grip Flat Core (Ultimate Version)
or
AR: Metal Ape
WD: Circle Heavy
RC: Metal Change Core
Circle Balance
Weight: ~15g.
The second Weight Disk released for the HMS series, on Driger MS. Circle Balance serves as the midway point between the two extremes of Heavy and Wide in all aspects. It isn't quite as heavy, nor is it quite as wide. It is somewhere in-between, and while it isn't particularly bad, there isn't anything notable to say about it. Circle Wide and Heavy both do their niches better than Balance could hope to, leaving this Weight Disk in an awkward spot of just not being particularly useful. If it was at all difficult to get either of the other Weight Disks, perhaps this one would see more use. As it stands, there isn't anything "wrong" with Circle Balance, but it simply doesn't have its own unique role that it does better than other options. This Weight Disk can be used in the same scenarios you may use the other two, but it just performs a touch worse.
Potential Combos:
AR: Jiraiya Blade
WD: Circle Balance
RC: Metal Change Core
or
AR: Circle Upper
WD: Circle Balance
RC: Bearing Core
Circle Wide
Weight: ~14g.
The last of the three initial Weight Disks, Circle Wide is both the lightest and the widest option available. Circle Wide is a mainstay in Stamina combos where having light weight around the perimeter of your combo is ideal, and since it is smooth and wide, it is able to aid in Life After Death. Because it extends so far out, it makes sole contact with stadium, meaning ARs with protrusions don't have to worry about losing spin when they start to wobble towards he end of the battle. Regardless of the AR you use, Circle Wide will certainly be the only upper part of your combo to make contact with the stadium. On top of being great for Stamina combos, Circle Wide is also a good choice for Attack Combos too, that often want to have most of their weight distributed around its perimeter as well. This allows for added speed and movement around the stadium, and it is not so heavy that it would hinder the Attacker in any way.
Potential Combos:
AR: Wolf Crusher
WD: Circle Wide
RC: Bearing Core
or
AR: Advance Attacker
WD: Circle Wide
RC: Grip Flat Core
General Quirks
Circle Wide
Heavier version is found exclusively in A-125 Draciel MS' Starter.
Typically a half-gram heavier than other Circle Wides (between 0.5g to even 0.7g).
This version is also slightly thicker (5.6mm) compared to the standard Circle Wide found in other releases (5.1mm).
Technically a better choice than the standard 14g for Attack Type combos.
Large variation exists between Circle Wides, I have multiple 13g ones that would likely be best suited for Stamina-oriented combos, for example. Weigh yours to have certainty, as the estimates cannot account for the variation in your specific Weight Disk.
Sonokong Molds
Just like in Plastics, Sonokong molding seems to have a mind of its own.
In general Sonokong releases of Weight Disk tend to be slightly smaller in the center hole where you thread the RC through. This means that you may get a closer fit, meaning zero rattling which is a good thing for any type of combo. It may also mean that the Sonokong variation barely fits at all, and you're out of luck unless you want to scrape and damage your RCs. Trying your luck isn't necessarily bad, but the lack of rattling isn't so big as to warrant rolling the dice all on its own.