It was set in the near future (2027) and based around the idea that the USA, USSR, China, Europe and others all had facilities in space and needed to agree on an International force to investigate crime that took place off of the Earth.
Here is a TV trailer for Star Cops that a YouTuber recorded:

That seems a bit cheesy, but the opening theme was amazing.
Some of the predictions of Star Cops were wrong, so it would probably need to be run as an Alternative Earth, but if people like hard science fiction and crime fighting, I think they might enjoy running games here.
As well as the (pretty hard to find) TV series, I think there might be one or two novels. I've heard that Big Finish (who do audio adventures for Doctor Who and other BBC TV shows) are working on a Star Cops audio adventure product line. Here is a trailer for one of their adventures:

The show was set in the near future, so a mixture of d20 Modern and d20 Future rules might cover what was required.