For example, the most common modifiers for the word "car" might be "used", "stolen" and "rented". I think this could be a very useful tool when you are writing and you are looking for a particular word, but you can't remember what it is. A web tool would be ideal, but that's not necessary
The English Collocation Dictionary Online and other dictionaries of collocations give common collocates; many of these will be of the form modifier + headword.
You can find related words and phrases to particular word on Longman dictionary. There are not the most common modifiers, but I think it could help you while writing as there are the phrases which are used with it.