This was very tough, because these are all classics and different styles (like trying to rank comedies with dramas). Even the least of the offerings is far superior to anything today, sadly.
1968 This Guys in Love With You Herb Alpert
1967 Somethin Stupid Frank & Nancy Sinatra
1966 Monday, Monday The Mamas & the Papas
1960 Its Now or Never Elvis Presley
1964 My Guy Mary Wells
1962 The Loco-Motion Little Eva
1961 Pony Time Chubby Checker
1969 Hot Fun in the Summertime Sly and the Family Stone
1965 Help! The Beatles
1963 Fingertips Little Stevie Wonder
Yes, it is tough with different genres or types.
And indeed, some hate lots of the songs, and others like them all but have to put something last.