Okay, I'm using a Mac program called JEDict, which uses a common database found on the internet, it works pretty well and fast, and is offline (which is faster, and good too).
It doesn't seem to have any notation, like (P) or such, to indicate a common word...
For example, I want to find the word for moon, I search it and here are the words which can mean moon, without other conditions in the definition:
hisakata,
keigetsu,
tsuki,
gekkei,
hyourin,
taiin.
And that's just the words which can mean moon alone, not the ones which can mean, full moon, half-moon and so on!!!