This file database type is also known as JET / MS Access database. As Linux user I'm not capable to use MS Access but mdbtools for converting them in CSV files that you easily open with QGIS. If you have issues with your Office software you can use an online converter as this for corroboration purpose. It can be found mdbtools for Windows in https://github.com/lsgunth/mdbtools-win.
First of all, I need a confident source of a mdb file. I used this one. I also need a tutorial for processing them.
After downloading it, I ran following command in Bash Console:
mdb-tables RollingThunder2003.mdb
As follows, it can be observed several sub databases included in RollingThunder2003.mdb. I only select Bicycle for converting it in CSV.
Bicycle BikeParts BikeTubes ChartOfAccounts City CommonSizes
ComponentName Customer CustomerSize CustomerTransaction Employee
GeneralLedgerTransactions GeneralLedgerTransactionsPosting
GroupComponents Groupo LetterStyle Manufacturer
ManufacturerTransaction ModelSize ModelType Paint Places2000
Preference PurchaseItem PurchaseOrder RetailStore RevisionHistory
SampleCustomer SampleStreet StateTaxRate TempDateMade TubeMaterial
WorkArea BicycleTubeUsage Component SampleName
For converting Bicycle in CSV, I used following command:
mdb-export RollingThunder2003.mdb Bicycle > Bicycle.csv
Afterward, I loaded CVS in QGIS (Data Source Manager, Delimited Text) as follows (no geometry option selected):

Result was obtained as in following picture. It can be observed that in the table there are 31823 records. CSV file can be perfectly open in QGIS.

Editing Note:
I exported mdb file to W7 in my PC and opened Bicycle database with Excel.

Opened database was exported with CSV option.

As exported CSV has semicolons (;) as delimiters, I load it in Windows QGIS as follows:

Result was obtained as expected.
