Way off topic (kind of) but I loved the movie San Francisco growing up. It was something I'd always watch with my dad or mom when it came on TV (mostly because I've always been fascinated by earthquakes). The special effects in that movie are amazing for 1936.
But back on topic:
Salt Lake has no official song. Most songs about Salt Lake are done to mock the city.
The Beach Boys wrote a song about Salt Lake in the 1960s due to their constant playing at Lagoon and it's probably the most well-known songs that shows the city in a positive light.
Of course, then there's The Dwarves' song about Salt Lake City:
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