If you're looking to get your data into an access database you could skip the middle conversion step entirely (or rather have ArcGIS handle it for you) by transferring your data to a personal geodatabase, which in reality is an access database.
From ArcGIS you can use the Create Personal Geodatabase tool to create the access database, and then you should be able to just copy your data across (though I'd export a table to geodatabase and copy the table so you don't waste memory and copy geometries if you don't need them).
Alternately (depending on your version of access) if you already have a database (as .mdb) you don't need to create files to copy them across.
Alternately if you're comfortable with command line utilities OGR supports FileGDB and various other formats including CSV, so you can dump your data out of your geodatabase using ogr2ogr.