The singers were among the attendees at New York City's Spring Studios for the Sinatra at 100: Film & Music event, which featured a screening of the digitally-restored 1949 musical comedy On the Town.
After the film, Orange Is the New Black actress and jazz singer Lea DeLaria opened the musical portion of the show with a cover of Luck Be A Lady, and the star admits she was overjoyed when Tribeca Film Festival bosses approached her for the gig, because she credits Sinatra with teaching her the importance of song lyrics.
She tells WENN, "I jumped up and down like a three-year-old girl (when I was asked to perform)!" before adding of the late music icon, "Nobody can sing a lyric like Frank and he really, really taught me that the lyrics are very, very important. I honestly used to think as a singer that lyrics weren't very important 'cause I'm a musician, I'm a be-bop musician, and for me it's about swinging that song, that music... and it was listening to Frank where I realised that's important, but so are the lyrics, being able to pierce people's hearts with what you are singing is very important, so that's what I learned from him... and when the two come together, it's golden."
The Killers frontman Flowers, veteran entertainer Bennett and R&B star Ne-Yo, among others, also offered up their song tributes to Sinatra during the event, and Ne-Yo admits rehearsing for the concert helped him discover a new Sinatra song favourite.
He explains, "I wasn't familiar with I Could Have Danced All Night before I actually had to do this and now it is definitely one of my favourites."
Ne-Yo adds, "Frank Sinatra was an absolute gentleman in everything that he did. Everything he did was with class and with taste and I try to exude a little bit of class in everything I do, based on my love for Frank Sinatra."
Sinatra died in 1998 at the age of 82.