I accidentally hit the back arrow and lost my first post, but basically...
I use a RadioShack sound level meter; it goes in steps of 10 from 60-120 (measuring about 50-130), and I've never felt the need for a wider range in anything audio related. If you were going to go back in time and measure the eruption of Krakatoa you might need something in the 180 db range, but in the modern world even the space shuttle isn't that loud. Anything much over 120 db is dangerous to your hearing, and 180 db is probably even physically dangerous.
As other people have said, a the range of measurement and the accuracy of measurement typically have an inverse relationship; the wider the range, the less accurate the measurement. Ideally, for an accurate measurement you want a device with a relatively tight range centered on the range you intend to measure. Without knowing what you're planning on using the meter for I can't be more specific, but 30-140 will cover pretty much everything you can throw at it.
My computer room (which I'm in now) has an ambient noise level of about 51 db, with my computer and its three huge fans switched on under a minimal load. I suppose an outdoor street in a rural neighborhood would certainly be quieter, probably even a lot quieter - I don't know, since I can't measure that low. From memory, I think that the sound of leaves rustling is about 20 db and a quiet whisper is 30 db. At the other end, 140 db is many, many times louder than the sound of a circular saw cutting wood. It's louder than a pneumatic riveter. It's about the same level as a gun firing, depending on the gun. Above 140 db it's hard to find examples that you would ever encounter without already being at grave personal risk due to proximity.
For ordinary listening, 60-120 is certainly enough; 30-140 would be more than enough for anything musical you could ever throw at it, certainly. If you could elaborate a bit more about what you intend to use this decibel meter for, people could perhaps give more specific advice.