- "Summertime", 1957-61
- "Be-Bop-A-Lula", 1957-62
- "Ain't She Sweet", 1957-62
- "Lazy River", 1959-61
- "The Wayward Wind", 1960-61
- "Say Mama", 1960-61
- "Wedding Bells", 1960-61
- "Wild Cat", 1960-61
- "Over the Rainbow", 1960-62
- "Can't Believe You Wanna Leave", 1960-62
- "Dance in the Street", 1960-62
- "Baby Blue", 1960-62
- "Hey, Good Lookin'", 1960-62
- "Time Will Bring You Everything", 1960-62
Unfortunately, very few of these tunes were ever recorded - and those that have survived are not studio recordings so they're not great quality and sometimes don't even feature the Beatles singing.
The band recorded "Be-Bop-A-Lula" in December 1962, but instead of Lennon singing lead (as was usual) Star-Club waiter Fred Fascher takes vocals and the Beatles play back-up. This version was released on the album Live! At the Star-Club.
So while the Beatles didn't make very many recordings of Gene Vincent's music, his influence is still significant. Vincent, like both Perkins and Presley, is most strongly associated with the genre of Rockabilly, a style the Beatles would imitate on many of their own recordings - even if none of them were actual Vincent covers. The Beatles would adopt that Rockabilly style in recordings such as "Act Naturally", "Don't Pass Me By", "Honey Don't", and "What Goes On", among others.
"Be-Bop-A-Lula" is without a doubt the Gene Vincent song that influenced the Beatles the most. Lennon admitted to Barry Miles in 1969, "That beginning - 'we-e-e-e-e-l-l-l-l-l!' - always made my hair stand on end" (Lewisohn 2013, page 94). Significantly, John sang the song live for the first time on the day he met Paul McCartney for the first time. Also significantly, Lennon opened his 1975 album Rock 'n' Roll with a cover of "Be-Bop-A-Lula". The song also is a prime example of early so-called 'nonsense lyrics'. Although lyrics such as "Be-Bop-A-Lula" contain no literary or semantic meaning, they do have musical meaning. The words "Be-Bop-A-Lula" were chosen because the phonetic articulation of those syllables perfectly fit the music - and any meaning of those syllables is largely coincidental. This style of lyric-writing is something that John Lennon would explore in depth in his songs from the later 60's, such as "Dig a Pony", "Come Together", "Strawberry Fields Forever", "Everybody's Got Something to Hide Except for Me and My Monkey", and many more. In other words, it's not much of a stretch from "Be-Bop-A-Lula" to "Goo goo k'joob".
Vincent also influenced the band's fashion sense. In the 1963 BBC documentary The Mersey Sound, John Lennon admitted, "[W]e'd always worn jeans 'cuz we didn't have anything else ... [W]e went back to Germany and we had a bit more money the second time, so we bought leather pants and looked like four Gene Vincents, only a bit younger." The visual similarities are indeed quite strong:
Lewisohn, Mark. The Complete Beatles Chronicle. Pyramid Books, an imprint of Octopus Publishing Group Limited, London, UK, 2006.
Ibid. Tune In. Crown Archetype, New York, NY, 2013
Sheff, David, G. Barry Golson, ed. The Playboy Interviews with John Lennon & Yoko Ono. Berkley Books, New York, NY, 1983.