The Great Love Stories series was published in 1990. I don't know for certain how many volumes there are, but there are only 5 listed on Amazon and none are listed in the Library of Congress, so I'm going with what I've found so far.
Each of these volumes is a reprint of a classic love story. Because they are reprints of very famous works, it can be pretty tough to find the Time-Life versions of these books using title searches; I've tried to set a few up below but the e-Bay links don't really work well (they return a LOT of hits). The Alibris and Barnes & Noble links work a bit better since they are using the ISBN numbers.