".dfx" or ".d
bx" files?
.dfx seem to belong to a graphics software (2D/3D images) called Drafix, purchased by
Autodesk. Do you have such a program installed?
.dbx files open using Outlook Express, there should be such a program in your new-ish computer, you may need to install it (if not active) using the Add/remove Windows components feature in the control panel. You may be then able to migrate them to MS Outlook. I don't use Outlook (nor OE, much) so I don't know the procedure, sorry.