I see that you're referring to the light fixture itself. In this case, the rating is the maximum that the fixture construction can withstand. Remember that the fixture is really only wires, switches, and connectors. It only serves to pass the current from the wall to the light bulb.
In your case, the fixture can handle any voltage up to 250V. You can use a 120V or a 240V bulb. The bulb would have to match the mains voltage.
660W is the largest bulb the fixture has been designed for, so that nothing gets too hot and/or melts. You can use a smaller-wattage bulb.
And the frequency doesn't matter to the fixture, although the bulb you choose might be affected (but probably not...)
That was the simple answer, but there is another consideration. Thanks to @david for pointing it out.
The ratings on the fixture should include maximum voltage and maximum current. The maximum voltage is simply the highest voltage that the fixture is rated to withstand, without arcing or breaking down in some fashion.
The maximum current, if given, will be independent of voltage. Often, however, the manufacturer will use a power rating instead of a current rating (660W in this example). To do this, they have to make some assumptions about the incoming voltage. Those assumptions reflect the manufacturer's expectations of where the product will be used.
For example, a 660W bulb draws 5.5A at 120V, or 2.75A at 240V. Were they expecting a 120V lamp? Probably so, if it was sold in an area that uses 120V. So, they chose wire that can handle 5.5A (or higher). Since this will also work with a 240V bulb, there is no problem.
But, say that you are using a 24V bulb (assuming you had a 24VAC power source). The fixture could certainly handle the voltage, and should work fine. However, if the bulb was 660W (the fixture's "maximum"), then the required current would be 27.5A. The wiring in the fixture will almost certainly fail at this current.
So, if in doubt, check to see if there is a current rating on the fixture :)
Brushed universal motors are largely independent of AC frequency, and as you have heard, will also run on DC. Their maximum speed is normally way above any synchronous speed referenced to line frequency. In their construction, the phase angle between the rotor and stator fields is set by geometry, not line phase. This is also why they run at high speeds - they just don't care about the line frequency. This is ideal for appliances such as vacuum cleaners and tools such as routers and planers, which don't need to maintain constant speed under varying loads. On the down side, they are typically not very efficient at low speeds, but for an application where they can run fast, that's not a problem.
As long as you get the voltage right, you'll be fine.
Variable speed controllers will also work well.
Best Answer
Both your machines use transformers inside to create the required working voltage. Using transformers at 60Hz designed for 50Hz will be no problem. Using one at 50Hz when designed for 60Hz is more troublesome, as the max flux inside the core will be greater than designed.
So for you 60Hz 220-230V is fine. But the electronics inside that measure time were built for 50Hz, so at 60Hz they will run faster. Many electronic clocks use industry standard chips which can be set to either 50 or 60 Hz by soldering a certain pin to ground or not.
Use them, don't worry, just don't trust the clocks.