By the mid-1990s, O'Donnell had become a household name across Ireland and Great Britain. He appeared on popular television shows in both countries and won various awards. Among the accolades, O'Donnell was named Donegal Person of the Year in 1989, which he still rates as the best award. He was given the Irish Entertainer of the Year award in 1989, 1992 and 1996. O'Donnell's first chart hit single in the UK was in 1992 with "I Just Want to Dance With You" (later covered by George Strait). This also led to his first appearance on "Top of the Pops".