Babylon 5’s is great if you like serialization. The first season is very weak due to a major health crisis in the principal character that occurred between the shooting of the pilot and the launch of the series. The story was adjusted so that a new station head and actor could take on the lead.
Farscape is an absolute gem and a wild ride. It really picks up after the first 12 episodes. It’s so incredibly influential on so many science fiction shows in the streaming era that it’s worth watching just for that alone. Be aware that the show was canceled before it could wrap up its full arc. A limited series was made later to wrap up the storyline — make sure you’ll be able to be able to get it.
I’m a fan of many of the old 1960s and 1970s shows but watching them really depends on your tolerance for older production styles and scripting. Space 1999 is worth tracking down for sure.
In terms of more recent shows, three serialized shows that involved time travel that actually stuck the landing are Continuum, Travelers, and 12 Monkeys. All are very good, with strong ensembles, but reflect the darker sci-fi trend of the 2010s.







Coming back to add that, if you like character-driven stories, but have never thought that kaiju might be your thing, Monarch: Legacy of Monsters now in its second season on AppleTV might be for you.
The show takes place in the middle of the Monsterverse continuity that currently has the licence for Toho’s Godzilla monsters. It’s an entry point nonetheless. You needn’t have ever seen anything in this continuity or others to get into it.
It’s less focused on fighting Titans than on the mystery of understanding them, the weird science fiction efforts humanity uses to share a world with them, and most of all the characters whose lives are intertwined with the mystery.