I'll throw my hat in the ring for this one!
I wasn't born yet either, but something from the 1987-1988 time period I would love to have experienced are my two favorite game shows, The Price is Right and Wheel of Fortune. In my opinion, both shows hit a creative peak of sorts during this season.
As a whole, 1986-1993 is probably my favorite period for Price is Right... and Season 16 may be the best one from that period. Possibly Bob's best hosting style ever (not as talkative as in the 70s, but still very interactive with contestants), and definitely Rod Roddy at his best. I love how early on during his TPIR tenure, he announced most of the IUFBs with his low, radio-type voice, but brought the excitement in at full force elsewhere.
As for Wheel, Season 5 of the nighttime show brought on the play for cash element, and it's my favorite season of Wheel in the 80s. Everything good about the show was present during this season... great contestants, great prizes, great gameplay, and Vanna looked her best. Pat started to loosen up a bit with his hosting style, and was obviously happy shopping was gone. Although his best years ever were probably 1995-1998, which also may be the highest peak of production for the show overall.