I am trying to import jpg-images in Blender (Blender 2.69). I am using Multitexture and a Nvidia Quadro FX 1500. I am using the Add-on "Import Images as Planes". But I have a problem. The images aren't always displayed properly. Shown in the screenshots below. (They are so blurry because I exported them in low quality.) When importing the images I don't have also the options mentioned in this answer.
To show my problem I imported the same images twice in Blender:
.
I didn't scale or transformed them (yet). I want to transform them later on. If they get blurry or so I don't care.
But when I start the gaming engine I get following results, (they are completely random, sometimes both are right or wrong or 1 is correct and the other is strange). I tried png-images but with the same result. I also didn't change the viewport between those screenshots:

Does anyone have an idea, what causes this problem?
Thank you for your help.
Addition: I was able to test it on another PC. On that it was displayed correctly. So I guess it is a hardware problem. Are there any settings I could change to make it work?