Kate Bush is my all-time favourite singer-songwriter. From the very beginning of her career her unique lyrics and eclectic musical arrangements caught my attention, and my infatuation has grown even stronger over the years.
I believe she is an INFP. Kate is famously introverted and reclusive, and she comes across as very romantic and idealistic, so the INF-part seems likely. The J/P dimension is open to debate, but to my mind, she demonstrates far stronger use of Fi than Fe, both in her music and in person (I met her once, briefly, at a record signing).
Oh, and she is surely an Enneagram 4w5.