Star Trek still does this, as someone mentioned about Strange New Worlds. Discovery has perspectives about authority and insubordination, about collapse of civilization depending on a single resource (dilithium), and what happens when a principled organization (the Federation) abandons its principles and is only worried about protecting the organization itself.

Starfleet Academy has explorations of what humanity is from Klingon/robotic perspective (very much borrowed from Worf and Data). It asks the painful question of what when the "good guys" are actually the "bad guys" and you end up a stray orphan because your parents are imprisoned for trying to feed you? What then, of improving the Institutions and becoming a better citizen?

Lower Decks also has a ton of lighter-toned ethical/moral explorations and young adults learning to become better versions of themselves. I think it's a very welcome tone change, and it's very accessible to people who haven't watched much of Star Trek, despite having tons of references to the universe.

Star Trek was always a very political soap opera: DS9 was about what the US government would call antifa terrorists seizing power on their planet. This hasn't changed, even though the formats evolved. Some i appreciate more than others, but i welcome this exploration.