burning, deep, great, strong, urgent | insatiable, overwhelming
Most children have an insatiable desire for knowledge.

genuine, real | natural | sexual

feel, have
I suddenly felt an overwhelming desire to laugh

express
The chairman expressed his desire to expand the company.

satisfy | be motivated by
They were motivated by a deep desire for money and fame.

~ for
Horses need to satisfy their desire for space and freedom.

an object of desire
He felt he was nothing more to her than an object of desire.

greatly, really, sincerely, very much
A home of her own was something she had always very much desired.