Minority Report was a story by the same author as We Can Remember It For You Wholesale, but it was in no way related. Even then, Total Recall is much different from the short story and so even if they were related, it would hardly appear so on the silver screen. If you're thinking of them in terms of being related via the original author, then Blade Runner comes first.
I can not help you with whatever you saw in the video store. Maybe the pilot to the series.
Minority Report would be better without Tom Cruise, but I feel that Steven Spielberg's treatment of science fiction in the past years has been fairly weak. I think he's burnt out his best work in the genre and, although his other films are often great, should retire from creating more science fiction.