"Sunshine of Your Love" is a 1967 song by the British rock band Cream. With elements of hard rock, psychedelia, and pop, it is one of Cream's best known and most popular songs. Cream bassist and vocalist Jack Bruce based it on a distinctive bass riff, or repeated musical phrase, he developed after attending a Jimi Hendrix concert. Guitarist Eric Clapton and lyricist Pete Brown later contributed to the song. Recording engineer Tom Dowd suggested the rhythm arrangement in which drummer Ginger Baker plays a distinctive tom-tom drum rhythm, although Baker has claimed it was his idea.

Based on this passage, who wrote the song sunshine of your love? Let's think fast. Stream of consciousness:
The relevant sentence in the passage is: "Sunshine of Your Love" is a 1967 song by the British rock band Cream. So the final answer is the British rock band Cream.