What is also important is to consider the diameter of the metric rings - before you bore your engine or order pistons. I typically determine the bore diameter that corresponds to the available ring diameters and ring types I want to use, then custom order my pistons. If you speak with the application engineers at the piston manufacturer, they will be able to tell you which types of rings they can supply for a range of diameters.
Sometimes the diameters align fairly well with what we're used too ---> 3 5/16 for example --> 3.3125. is pretty close to 84 mm -> 3.307 or 84.5 mm -> 3.327. Depending on the ring manufacturer, they may supply rings that are millimeters in thickness, but with inches-based diameters.
One of the nice things about looking for rings first is that you may find a ring package that gives you an overbore that is less than you would have had with typical inches-based ring packages:
Example: 85 mm -> 3.346 inches. This is about 1/2 way between a 3 5/16 bore and a 3 3/8 bore.
Also, there are many types of ring packages --> cast, steel, moly coated, gapless oil rings, etc.. There are many ring options if you look at catalogs and associated applications --> street, performance, boosted, racing, etc..
Here is a Total Seal catalog - has some good information:
View attachment TotalSealRingCatalog.pdf