I’ve done this is a five parter, this is part 1 and it covers the 1950s and 60s, but it’s only solo singers who have penned their own chart-topping hits. The ones indicated with an ‘ * ‘ are the co-written ones.
| Artist | Title | Year |
| Elvis Presley | All Shook Up * | 1957 |
| Paul Anka | Diana | 1957 |
| Marvin Rainwater | Whole Lotta Woman * | 1958 |
| Russ Conway | Side Saddle | 1959 |
| Russ Conway | Roulette | 1959 |
| Bobby Darin | Dream Lover | 1959 |
| Jerry Keller | Here Comes Summer | 1959 |
| Lonnie Donegan | My Old Man’s A Dustman * | 1960 |
| Eddie Cochran | Three Steps To Heaven | 1960 |
| Roy Orbison | Only The Lonely (Know The Way I Feel) * | 1960 |
| Floyd Cramer | On The Rebound | 1961 |
| Del Shannon | Runaway * | 1961 |
| Cliff Richard | Bachelor Boy * | 1962 |
| Roy Orbison | It’s Over * | 1964 |
| Roy Orbison | Oh, Pretty Woman * | 1964 |
| Roger Miller | King of the Road | 1965 |
| Jackie Trent | Where Are You Now * | 1965 |
| Crazy World of Arthur Brown | Fire * | 1968 |
| Ennio Morricone | The Good, The Bad and The Ugly | 1969 |
| Peter Sarstedt | Where Do You Go To My Lovely | 1969 |
| Tommy Roe | Dizzy | 1969 |