The adjective imaginary means unreal, illusory, or fanciful.
The adjective imaginative means having or using the imagination in a creative way.

Link to present incidents:
• To qualify as a utopia, the imaginary place should be an expression of human desires.
• Bob Dylan's imaginative lyrics had a major influence on the music of the 1960s.
From: https://www.thoughtco.com/english-grammar-4133049