Whilst I wouldn't call them the 'Worst 14', the songs in the Beatles catalogue that I tend to swerve are the over-familiar, and when I play the 45s, I tend to opt for the b-sides ('Thank You Girl' over 'From Me To You', 'I'll Get You' in preference to 'She Loves You' etc. etc.).
Of the songs mentioned so far, 'Flying', 'The Inner Light' (definitely), 'Mother Nature's Son' and 'Only A Northern Song' would probably get in my Top 14!