I have some really bad texture issues. I cannot see:
Tattoos
Bolian Stripes
Scars
Trill Spots
Make-up
Andorian Planet
Andorian Moon
Some other random planets from the Genesis System thing

I have no idea what to do, and it's really bugging me - my toon is a Joined Trill. I paid money to get a Joined Trill, and what do I get? A Human!
Any suggestions would be helpful. Oh yes, and I've tried putting all of my graphics options to the highest possible. I'm suspecting it's my GPU's fault, though. Still, suggestions.

Buy a better video card?

Post your system specs - it may be memory, but most likely it is an older video card or at least old drivers.

System Specs then:

Type: Laptop
Manafacturer: Samsung
System: Windows Vista
Processor: Intel Pentium Dual CPU T2410 @ 2.00 GHz / ~~~ @ 2.00 GHz
Memory/RAM: 2.00 GB
System type: 32-bit Operating System
Display Adaptor: ATI Radeon Xpress 1250
Sound controller: Realtek HD Audio (With EDS)

I may edit to include any more I find lurking around.