Cpt.Obvious: Mhm I didn't had much problems last years. The native version of Jedi Knight uses Direct3D 5.0 which newest AMD drivers don't support anymore (after all these years). But dgVoodoo uses DirectX11 so it should be fine.
teleguy: You might want to post your issue in the dgvoodoo thread at vogons.org. The developer of dgvoodoo visits there regularly .
http://www.vogons.org/viewtopic.php?f=9&t=34931 There are two other solutions you can try:
1. A dll file from the last working drivers
http://steamcommunity.com/app/32380/discussions/0/846957366680893679/
You have to delete dgvoodoo or set it to passthrough mode.
or
2 Wined3d.
http://en.file-upload.net/download-9903964/ddraw.zip.html (Click on the blue Download button with a cloud on it, if a window for their download app pops up close it, then click the blue button again)
Wined3d will make the game take a long time to load with a black screen (it may even seem the game stopped responding), just be patient.
Strange, none of these solutiuons work for me. With the last working drivers (DLLs) JK is still crashing (even the beta driver). And when I use Wined3d JK uses software rendering mode for any reason.