I think we're confusing "radiation" - the TV/movie term, with "radiation" - the scientific term.
In the real world, "laser radiation" refers to EM radiation, "electromagnetic radiation". EM includes a bunch of stuff, from visible light, to radio waves, to x rays, etc. Light from a lightbulb, light from the sun, hell, light in general is EM radiation. If you see ANYTHING, you're exposing yourself to EM radiation. Nothing wrong with that though!
In movies, radiation is often taken to mean the stuff from nuclear bombs and all. That includes alpha and beta radiation, which are completely unrelated, and gamma radiation, which actually is a type of EM radiation.
Now, with a laser you're not dealing with gamma radiation, you're normally dealing with light in the UV, visible, and infrared spectrum. UV light CAN cause problems: cancerous mutations and the like. Visible radiation, like a green laser, is a different story though.
Green/visible light lasers ARE dangerous because they pack a lot of energy - burning power - into a small area. That can burn your eyes, or even skin with enough power. Same with any other intense light though. Its not "radiation" like the stuff you need to put lead shields up for in movies.