Can I play? I'm on phone so it won't format videos properly, BUT... these are my recommendations:
Roxy Music ~ Jealous guy. Pure, pure class. Lennon's original is good, but hearing Bryan Ferry singing it makes the song seem written for him. Could listen to it on loop :)
Siouxsie & the Banshees ~ Dear Prudence. Again, not to hate on the Beatles as their original is also mega! But, a new level is reached by Siouxsie&co, by giving the song a haunting, alternative, even gothic feel with a great vocal & synth set.
UB40 ~ Can't Help Falling In Love. Ali Campbell & co can do me no wrong as it is, but their version of this song is truly sublime. If I'm honest, I hate the dreary original :x reggae really worked with it :)