You might like to take a look at DatabaseBasics.zip in my public databases folder at:
https://onedrive.live.com/?cid=44CC60D7FEA42912&id=44CC60D7FEA42912!169
In this little demo file the first two forms in the section on 'entering data via a form/subforms' each contain correlated combo boxes for select a country, region, and city. The first form is in single form view, whereas the second is in continuous forms view and uses hybrid controls in which a text box is carefully superimposed on each combo box to appear to the user like a single combo box control.
Having said this, I'm unsure whether correlated combo boxes, which imply hierarchical relationships, are appropriate for what you are doing. You are, in essence, building a bill of materials (BoM). The standard model for a BoM is an adjacency list table whose primary key is a composite of two foreign keys each referencing the foreign key of a single parts table, in which each row can represent an assembly or an atomic base part. Assemblies might be composed of other assemblies (as sub-assemblies) as well as or in addition to base parts.
There are a number of algorithms for generating a BOM from the standard model, but all require recursive querying, which JET/ACE SQL used by Access does not support. It can be simulated, however, by progressively writing data to an external linked table in a temporary database created at runtime. You'll find an example of this in my same OneDrive folder as BoM.zip. You'll also find a simpler PartsTree database in the zip archive, which uses a query which references a fixed number of multiple instances of the tables, but this of course only generates a BoM to a fixed number of levels, rather than to an arbitrary number of levels.