A 7 segment display is shown above. I have 4 of them I can loan out. So if you are one of the first 4 to ask, you can do this option. Or you can buy one for under $2 at a local Radio Shack. The packaging comes with a wiring diagram. Basically, you treat it as 7 LED lights. You need a transistor for each light. You can ask me for more details. If you need more resistors let me know.
Get the LED to display 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 repeatedly. (points = 80)
Get the LED number to advance for each button press (+ 20)
Remember that Simon Game where you needed to repeat an every lengthening pattern? You can implement something similar with 2 LEDs and 2 buttons. This requires some programming ninja, but the hardware side should be straight forward.
A full implementation is worth 100 points plus extra credit. Additional credit for games the speed up as the pattern lengthens.