There are 5 active man-made spacecraft currently in orbit around or traveling through the solar system beyond Earth:
Voyager 1
Voyager 2
Pioneer 10 (no longer communicating)
Pioneer 11 (no longer communicating)
New Horizons
These aren't in orbit around the solar system itself (since the solar system doesn't have a defined "orbit"), but they're traveling through it—some even into interstellar space.
Question by:
Sparkleberry369