The more I've been thinking about this, the more I realize that because Voyager (or most trek of that era) isn't totally serialized, there's no real reason that you HAVE to watch it sequentially for the first time.
As long as you're avoiding spoiler episodes, there's no reason that you can't just watch some random stand-alone episodes, and I'm confident that watching some of those first will make you want to go back and watch the entire thing to see "how they got there."
So with that said, if you want to understand my love for Voyager, these are the top ten episodes I would recommend that are stand-alone and don't contain spoilers and epitomize why I say that Voyager is better than most people give it credit for.
- Living Witness (S4)
- Blink of an Eye (S6)
- One Small Step (S6)
- Timeless (S5)
- Scientific Method (S4)
- The Void (S7)
- Relativity (S5)
- Counterpoint (S5)
- Shattered (S7)
- Deadlock (S2)
There are others that I would put in there, but those would include character spoilers that I'd want to avoid.
I believe if you watch those standalone stories, you'll get the gist of what people love about Voyager.



True. I avoided any two parter on the list just because two-parters are best when you know the characters a bit more. I tried to limit it to episodes that would be akin to TNG standalone's like Darmok or Schisms; episodes that are good even without knowing the characters.