Haha, well you could do millions of things with transistors alone - and I mean that literally, just look at these words from a computer screen.
Unfortunately, these applications also take millions of transistors, and so being restricted to ten, you can't expect to do anything fancy.
Here's an idea - you want to wire a light bulb to a constant voltage source but you need make a switch as well as a way to "swap" the switch - that is, make on - off and vice versa.
Of course, this has many practical applications - say you want a light to shine whenever a circuit is broken as an error message.
The circuit is easy to implement - use the two transistors to make an inverter (these can be ANY transistors - CMOS, MOS, diode, bipolar junction, etc). The inverter will allow you to make the swap between ON/OFF - keep in mind that you still need to apply the constant voltage though. Google "inverter" followed by any of the types I listed above if you have no idea how to make it out of transistors (it's easy - you only need 2).
The light bulb is a resistor - by definition, and you can have a capacitor store voltage to turn the light bulb on (temporarily) when the circuit is disconnected. Make sure to include resistors for that case - or else you'll have a short circuit.
I'm an EE major