Usually it will say one of the following: Luxeon, 1 watt, 3 watt, or 5 watt LED, high output or high flux LED, or as bright as [#] regular LEDs. It may also say LumiLEDs in the copyright of the packaging. To tell from the actual product, a Luxeon is going to be wider and shorter than a 5mm LED. It will have a yellow square in the center. They usually use a reflector (a side emitting Luxeon has an hourglass type lens on the LED) or they will use special optics to focus the light. Most 5mm LEDs do not use a reflector or optics.
As far as I can tell, a 3W only differs from the 1W in output. The 3W is just a tougher LED, so it can take more power. The 5W actually has 4 dies inside the LED, so you can tell the difference fairly easily.