Hi Sasquatch,
Have you check this link http://erikruud.freeservers.com/arcade/buttons.html ?
He has a little calculator you can use to check that you have used the correct current limiting resistor. My blue LEDs use a 68 ohm resistor.
Yep, I've seen it. ErikRudd lives like a couple of towns over.

I'm almost positive my limiting resistor is correct at 75 Ohms though.
As far as the transistors are concerned, you are similar but opposite transistors. Oscar has specified 2N4402 which are PNP transistors, and the 2N4401 is an NPN transistor. In simple terms this is sort of like having a diode in the wrong way around. You either need to change the circuit around to use the transisotrs you purchased or get some PNP transistors.

WHOOPS! I didn't know that there was such a difference. I don't know how I'd change the circuit around, so I'll probably just try to locate some PNP transistors. Radio shack's selection is so damn tiny though, dammit. Hmmm.
I hope this helps a bit. I can't explain why you are having the problem with the KE72-T. I would test the driver board you have made simply by grounding the connection that is supposed to go to the CapsLock and NumLock. This sould turn the LEDs on. Removing the ground should turn the LED off.
That actually helped a lot, so thanks much!