Ironically the DS9 crew, aided by their numerous trips through the wormhole, covered several times greater distances throughout the series than either Enterprise or Voyager.

Enterprise: where have we gone??

Does it still count if you use a wormhole? That's like taking a shortcut and still saying you went the full distance.

No one*

I don't know, but it's been a long road...

To boldy go... nowhere

I mean, wrap drive itself is kind of a cheat...

Are Vulcans cheating with strength and resilience? Sisko was half wormhole alien and only could traverse those distances because of his relations.

Getting from there to... somewhere else.

Actually a much better punchline

Every series since TOS has always been a variation of "going where no one has gone before".

TNG started at Farpoint and initially was supposed to be exploring the unexplored.

DS9, while being a space station, was still located at the wormhole to the Gamma Quadrant, an unexplored region of space for Starfleet

VOY hit the other corner by being thrown into the far end of the Delta Quadrant

ENT was chosen to predate TOS so that would genuinely be where no one had gone yet.

DS9 was so cool the unexplored came to them.

What if cinematic? What if action? What if diverse? What if goofy? What if old? What if young? Oh no. You cracked the secret!

DS9: To boldy go where JMS was going, but legally distinct for copyright reasons.

I avoided DS9 for decades thinking it would have to suck. It didn't. I highly suggest a first play through of only Dominion War episodes. Then the characters grow on you. You wonder why anyone tolerates the mean Kai. So then you watch it in order.

Star Trek Discovery: ???

What are you talking about? Last thing I know was being approached by a sharp dressed gentleman...

TOS: Going to Boldly.

Since they usually find aliens there, 'no man' makes more sense.

English has been using 'man' for all humanity for centuries.

Let's go

I whish. And I also want the hours I wasted on that show returned to me.

Although the Enterprise in The Next Generation still takes the cake for nearly leaving the universe.

Voyager might also count if you include them jumping billions of years of time-distance thanks to Q meddling getting them tossed back and forth.

They're going when no-one has gone before, clearly.

I haven't seen Voyager recently though to comment on that series, but you're right about STNG (I had forgotten about the Traveler). The Enterprise wins.