Q:

Are there different types of craving? 

According to Buddhist tradition are there different types of craving?  It occurs to me that the following could all be described using the English word craving

Being thirsty (for water) 
Really wanting a new car
Wistfully missing a loved one when they are temporarily absent from
your life

However they do feel like they are very different things.  So are there categorisations of craving within Buddhist philosophy and if so how would my examples fit into those categories. 
I'm interested in answers from any tradition but I suspect that there might be some kind of list of craving within something like the Abidharma
EDIT
These are great answers so far but I wonder does anyone have anything to add on a more experiential basis perhaps referencing meditation practice. 

A:

Indeed, there are four levels of craving. 

Craving for one's life - Highest level
Craving for one's organs
Craving for loved ones
Craving for external objects - Lowest level

Chathurarya Sathya (Four Noble truths) by Rerukane Chandawimala Thero

Craving for life arises as perceiving the five aggregates as self and this is the highest level of craving.  As an example, during a natural disaster someone would first try to save his own life at any cost, then the lives of his loved ones and finally when everyone is safe, he would try to save his possessions. 
From the given example, satisfying thirst may fall under first type, wanting a car falls under fourth and missing a loved one falls under the third level. 
Note- The author of the book hasn't referred to any text in Pali canon whether this is  a categorization of Buddha or if it appears in Abhidhamma.