Thank you for posting this. That was one of my favorite games growing up, I thought I was the only one left who remembered it. That mechanic was genius, switching between both parallel worlds and making changes that affected both so that both stories could progress. It must have been conceptualized by a student of physics who wanted to hold and feel the multiple parallel universe theory. That game alone had to have inspired its generation into science.
Better than movies, read Phillip k dick stories. So many of them became movies. Minority Report (2002) was a decent adaptation. Paycheck is truly great story, but terrible movie. A Little Something For Us Temponauts has not been ruined by hollywood yet. Its a really good time travel story.