What new music were you listening to in the autumn of 1987? Top of the charts throughout the run of Time and the Rani was Never Gonna Give You Up by Rick Astley which would be the year's biggest seller. Not a particular favourite of mine, so here's my personal favourites that peaked in September 1987 :

What Have I Done To Deserve This? - Pet Shop Boys w. Dusty Springfield (2)
Wipeout - Fat Boys & The Beach Boys (2)
Wonderful Life - Black (8)
Heart and Soul - T'Pau (4)
Bridge To Your Heart - Wax (12)

Particulary annoying that Rick kept Pet Shop Boys and Dusty off the top!