Space shows:

• Farscape trailer Amazon Prime
  Astronaut John Crichton is stranded on the other side of the universe when his test spacecraft goes through a wormhole. He is taken in by the alien passengers of the sentient ship Moya, which is on the run from the militaristic Peacekeepers.
• Red Dwarf trailer Amazon Prime
  The adventures of the last human alive and his friends, stranded three million years into deep space on the mining ship Red Dwarf.
• Space: Above and Beyond trailer YouTube
  Set in the years 2063–2064, the show focuses on the Wild Cards, members of the US Marine Corps 58th Squadron deployed in the Navyspace carrier USS Saratoga.
• The 100 trailer The CW
  Ninety-seven years after nuclear war destroyed civilization, a spaceship housing humanity's lone survivors sends 100 juvenile delinquents back to Earth to repopulate the planet.
• Andromeda trailer Amazon Prime
  Captain Dylan Hunt and the crew of the Andromeda Ascendant set out on a mission to rebuild the Systems Commonwealth 300 years after its fall.
• Firefly trailer Hulu
  Five hundred years in the future, a renegade crew aboard a small spacecraft tries to survive as they travel the unknown parts of the galaxy, evading capture by warring factions and authority agents.
• Cowboy Bebop trailer Hulu
  The futuristic misadventures and tragedies of an easygoing bounty hunter and his partners, working from the spaceship Bebop.
• Dark Matter trailer SyFy Netflix
  The story of the crew of the derelict spaceship Raza, awakened from stasis with no memories of who they are or how they got on board.

Nonspace sci-fi shows I like:

• The X-Files trailer Hulu
  FBI agents Fox Mulder and Dana Scully work in an unassigned detail of the bureau called the X-Files investigating cases dealing with unexplained paranormal phenomena.
• Fringe trailer Amazon Prime
  The Fringe Division, comprised of an FBI agent, a mad scientist and his estranged son, investigate cases related to fringe science: everything from transhumanist experiments to parallel universes.
• Awake trailer Buy on Amazon
  After getting in a car accident with his wife and teenage son, Detective Michael Britten finds himself alternating between two different realities.
  
• Stranger Things trailer Netflix
  After the mysterious and sudden vanishing of a young boy, the people of a small town begin to uncover secrets of a government lab, portals to another world, and sinister creatures.
• The OA trailer Netflix
  Held captive for seven years, blind Prairie Johnson returns home with her sight restored. After a series of near death experiences, she and the other captives are imbued with knowledge that allows travel to another dimension.
• Humans (UK) trailer Amazon Prime
  In the parallel present, the latest must-have gadget for any busy family is a 'Synth' - a highly-developed robotic servant that's so similar to a real human it's transforming the way we live.
  

Nonspace sci-fi shows my husband watches but I didn't like:

• Colony trailer Netflix
  In the wake of a mysterious alien invasion, a family fights to stay together in a new world order.
• Falling Skies trailer Buy on Amazon
  After a devastating invasion, Tom Mason and the 2nd Massachusetts Militia Regiment fight aliens and defend mankind.
  
• V (2009) trailer Amazon Prime
  An extraterrestrial race arrives on Earth with seemingly good intentions, but slowly reveal their true machinations as they become more integrated into society.