Are there different types of craving?
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.