Strong longing:
* Craving: Implies a strong, often physical need.
* Yearning: A deep, wistful longing for something unattainable.
* Aching: A strong, almost painful longing.
* Pining: A longing for something or someone lost.
Intense wanting:
* Want: A basic, straightforward expression of wanting something.
* Need: Implies a sense of urgency or necessity.
* Longing: A sustained and focused desire.
* Aspiring: To have a strong desire to achieve something.
More specific synonyms:
* Lust: Desire for sexual gratification.
* Greed: An excessive desire for something, often wealth or power.
* Ambition: A strong desire for success or achievement.
* Passion: An intense, overwhelming desire or enthusiasm.
The best synonym for "desire" will depend on the specific context of your writing.