How To Fix Minecraft OpenGL Error: “Pixel format not accelerated“
Hmm.. I’ll have to try this for my kids’ older computers..
[UPDATE 9/19/2013] The old computer had an ATI 4350 video card. Installing the ATI 13.1 legacy 64bit drivers worked to get Minecraft playable. Oh, that and the 32 bit version of Java (Release 40).
Link to the legacy video card drivers: ATI. Just use 7zip and extract the entire archive to a temp folder. When Windows asks for the driver, let it scan this temp folder.
Link to the versions of Java.