The Canadian TV series "Starhunter" was set in our solar system... I've only seen the first season, but the twenty or so episodes visited every planet, or moons of the gas giant planets, except Venus.
They sort of improved the SFX when they re-edited and re-released the whole thing as Starhunter Redux a couple of years ago. They even brought back key cast members and re-shot a re-written version of the series ending.
The second season (of either version) involves numerous cast/character changes, but also takes the opportunity to introduce a nice twist to the whole setting: because of overlapping jurisdictions and newly-introduced personal/professional relationships, the ownership of the Tulip comes into dispute, with the principal characters generating three competing claims among themselves. :CoW:
@jackleg
Also, in terms of self-contained one-system adventure settings, do not overlook the CT boxed adventure settings Tarsus and Beltstrike; both provide detailed star system information, locations, and storylines. I have used each of then on occasion over the years for short, but full, campaigns that do not require me to dig out and pore over a subsector map while repeatedly thumbing through the various procedural-generation checklists in Book 6 on a regular basis. They are kind of the gold standard for such things among the official/licensed publications.
@leo
On a different note, no list of reasonably hard sci-fi, intra-solar-system bounty hunting TV-plus-movie series would be complete without mentioning the anime classic Cowboy Bebop, of course.
So yeah, single-system adventuring is definitely an option on the table.
And there is then always Firefly (and Serenity), which brings us full circle.