Just my opinion
#1 - Theme from OHMSS (menacing and driving rythm.)
#2 - Diamonds are forever (100% Bassey but nicely restrained)
#3 - Thunderball (100% Jones and 100% Bond lyrics)
#4 - Goldfinger (100% Bassey but way over the top)
#5 - Theme from Dr No. (It's THE Bond theme, what became the leitmotif through all the films. It's up there with the Dr Who theme for evoking memories . Maybe it's something to do with Doctors)
They span the first (classic?) 10 years of Bond
I don't like any of the contemporary themes.
If you choose a contemporary piece then you risk having The Monkees, or Freddie and the Dreamers, instead of Shirley Bassey or Tom Jones. (See A-Ha)
Only great voices need apply (Which is why Adele is a good choice, I think it will stand the test of time, many good ones are derivative to a greater or lesser extend....you just can't beat a good old "WAAAAHHHH WAAHHHH" brass section or some sweeping violins )