I have been lookin into some base parallel sets from 1980-1995. I have found the following, some of the print runs don't match the info in the OP.
https://www.tiffanycards.com/tiffany-cards has some good info. It logs actual sets with the serial numbers when they are sold.
Other info was from
http://baseballcardpedia.com/index.php/
1984 Topps Tiffany base and traded: 7,000 (approx. 7,000 according to tiffanycards.com, 6,722 is the highest set number found)
1985 Topps Tiffany base and traded: 5,000 (5,000 according to tiffanycards.com, 5,000 is the highest set number found)
1986 Topps Tiffany base and traded: 5,000 (just over 5,000 according to tiffanycards.com, 5,125 is the highest set number found)
1987 Topps Tiffany base and traded: 30,000 (under 30,000 according to tiffanycards.com, 29,376 is the highest set number found)
1988 Topps Tiffany base and traded: 30,000 (just under 30,000 according to tiffanycards.com, 29,290 is the highest set number)
1989 Topps Tiffany base and traded: 15,000 (15,000 according to tiffanycards.com, 13,624 is the highest set number found)
1990 Topps Tiffany base and traded: 5,000 (under 5,000 according to tiffanycards.com, 4,315 is the highest set number found)
1991 Topps Tiffany base and traded: 4,000 (4,000 according to tiffanycards.com, 3,456 is the highest set number found)
1989 Bowman tiffany: 6,000 (6,096 is the highest set number found)
1990 Bowman tiffany: 6,000 (6,000 is the highest set number found)
1988 Score Glossy base: 5,000
1988 Score Glossy Traded: 3,000
1987 Fleer Glossy base and update: 75k-100k
1988 Fleer Glossy base and update: 40k-60k
1989 Fleer Glossy base (no update was made): 30k
1993 Topps Marlins Inaugural: 6,000
1993 Topps Rockies Inaugural: 10,000
1984 Fleer Update set: 12,000 unofficial (Not a parallel, but limited print run)
1984 Topps Nestle (Hand Cut): 5,000
1991 Topps Desert Shield: 6,313 unofficial
1993 Finest Refractors: 241
1993 Finest Jumbo (Partial Parallel #'s 84-116): 1,500
1993 Stadium Club First Day Issue: 2,000
1993 Stadium Club Members Only Factory Set: 12,000
1994 Stadium Club First Day Issue: 2,000
1994 Stadium Club Golden Rainbow (Gold Foil): ?
1994 Stadium Club Members Only Factory Set: 5,000
1994 Topps Spanish/Bilingual: 1,000 Factory Sets
1995 Stadium Club First Day Issue: 2,000?
1995 Stadium Club Members Only Factory Set: 4,000