Yes, I think it is important so I do it. Our garbage collection service has made it easier by providing a separate container for recycable materials. We don't collect a lot of newspapers but we do recycle those also.
I do as much as possible. We recycle all of our cardboard at work since it greatly reduces the amount of garbage in the dumpster and cuts down on the cost of disposal. We have to pay a deposit on cans and bottles here so I always save and turn in my empty ones to get my money back.
I recycle paper, plastic, metal and glass. We're supposed to dispose of "dangerous" items (such as pressurized cans, batteries, etc.) in a special depot on the outskirts of town (how convenient is that :fall), so I just stuff them in the general bag, and hope they don't explode!
It's ok, I know alot of people don't recycle. I just don't think I could throw stuff away that could be recycled - I would feel guilty. It is a pain sometimes, but I feel good that I am doing something to help.