Could the problem be the fact that my folder structure is swedish and not english?
C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods
As in some files not being correctly read due to the "ä" in the folder path?
7 Deadly Sins 1.3d <-- minidump, yet tons and tons of people succesfully play it..
7 Deadly Sins 2.0 beta <-- minidump
bailknight_graphicmod_v1.3 <-- minidump, yet its probably the most popular mod..
Sins Plus (by Uzii) v1-3a <-- works

EDIT: This is the debug log when getting the minidump by activating the 7 Deadly Sins 1.3d mod.. Just a bunch of these. Note how "inställningar" got converted to "inställningar" in the later part.
Failed to Create D3DX Effect 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\SetupDefaultStates.fx'...
(1,1): error X1507: failed to open source file: 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\SetupDefaultStates.fx'
Failed to Create D3DX Effect 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\Error.fx'...
(1,1): error X1507: failed to open source file: 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\Error.fx'
Failed to Create D3DX Effect 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\Prim2D.fx'...
(1,1): error X1507: failed to open source file: 'C:\Documents and Settings\Baleur\Lokala inställningar\Application Data\Ironclad Games\Sins of a Solar Empire\Mods\7 DEADLY SINS 1.3d\PipelineEffect\Prim2D.fx'
EDIT 2: And, when removing the "PipelineEffect" folder from any of the minidumping mods, i only get this in the debug log, but the actual mod manages to load up just fine!
Failed to convert '' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
Failed to convert 'GasGiant' to an enum value.
So, its probably something with the Pipeline Effects. Could an ironclad dude take a closer look at this please? Thanks