Most of the 1970s rockers only used the ukulele as a junior guitar, a stepping stone to the guitar, and testified they started out with skiffle music and folkrock: Rock Island Line, Goodnight Irene. And graduated to novelty pop songs like 'Does your chewing gum' before switching to the guitar and more groove-based rock music. That's what I picked up from biographies on Jimi Hendrix, Steve Marriott (won a ukulele at a seaside competition at age 8), Brian May, Ronny Wood, Ray Davis (got his ukulele after a brave first visit to the dentist!), Dave Davies, Rory Gallagher, Johnny Winter, Marty Wilde, the list goes on. I'm not sure about Gary Moore and Phil Lynott, but anyhow the list is impressive. The music all those legends played on their ukuleles probably wasn't.
Joe Strummer was a bit different. First, his inspirations were not typical: instead of Dylan and Donegan songs, he went to an earlier source of Woody Guthrie and even his first nickname was Woody. Second, he graduated from plastic soprano to a wooden baritone ukulele instead of a guitar, and started uke busking with blues (Muddy Waters songs especially) and early punk (his first steps in The Clash) - hence his final nickname.
As for legendary hit songs composed on ukuleles, none of those rockers probably need to apply. It's either the preceding jazz age (all the funny tin pan alley tunes, written mainly on piano but some with a ukulele at hand, 'When You Wish upon a Star' probably on top), the earliest compositions by Joni Mitchell (Big Yellow Taxi was actually written in Hawaii!), and the modern surge of ukulele pop and rock (fill in your favorite artist here) that are the best and most widely known ukulele-orginals.
It's a bit ironic that the modern ukulele anthems like 'Hey Soul Sister' and 'I'm Yours' were actually written on guitars, before being recorded with ukuleles.