I've been a TOS fan since I first saw it in 1969, at the age of eleven, but until recently, I'd never seen any other Star Trek. You see, in 1986, I moved into a TV-free household, so when TNG came out the following year, I didn't even know it was on, and I didn't watch any television for a couple of decades. Yes, DECADES. 
Then I read a book by Gretchen Rubin called The Happiness Project, in which she recommends that people get back in touch with things they'd loved to do as children. I remembered how much my teenaged self had loved Star Trek, so I bought the TOS DVD's and re-watched all 79 episodes. Yep, still love TOS
, especially (but not exclusively) Spock.
I realized that there were other Star Treks out there and stared TNG. I watched the first 6 - 7 episodes and just didn't warm up to it. My friends all told me that it would get better, and I'm sure I'll go back and watch the rest of it someday, but I didn't want to slog dutifully through a couple of seasons before enjoying the show; I wanted a Star Trek I could LOVE.
I missed Kirk's dynamic, take-charge captain, and I missed having a Vulcan around. Hmmm. I've heard that Janeway reminds some people of Kirk. And isn't there a Vulcan named Tu-something who's also in Voyager? So I watched the first episode of Voyager, and I loved it. These characters seemed a lot more like people than the ones in the first episode of TNG! Then I watched the second episode. Wow, a female captain geeking out with a female chief engineer! Be still my heart.
So I'm a very old Trekkie but a brand-new convert to Voyager, who's watching Voyager for the very first time. So far, I love everything except Tom Paris. And I suspect Neelix may become annoying if he's overused, but we'll hope that won't happen.
So, any advice for a new Voyager watcher? Especially one who's seen only a few episodes of TNG and no DS9 at all?

Then I read a book by Gretchen Rubin called The Happiness Project, in which she recommends that people get back in touch with things they'd loved to do as children. I remembered how much my teenaged self had loved Star Trek, so I bought the TOS DVD's and re-watched all 79 episodes. Yep, still love TOS

I realized that there were other Star Treks out there and stared TNG. I watched the first 6 - 7 episodes and just didn't warm up to it. My friends all told me that it would get better, and I'm sure I'll go back and watch the rest of it someday, but I didn't want to slog dutifully through a couple of seasons before enjoying the show; I wanted a Star Trek I could LOVE.
I missed Kirk's dynamic, take-charge captain, and I missed having a Vulcan around. Hmmm. I've heard that Janeway reminds some people of Kirk. And isn't there a Vulcan named Tu-something who's also in Voyager? So I watched the first episode of Voyager, and I loved it. These characters seemed a lot more like people than the ones in the first episode of TNG! Then I watched the second episode. Wow, a female captain geeking out with a female chief engineer! Be still my heart.
So I'm a very old Trekkie but a brand-new convert to Voyager, who's watching Voyager for the very first time. So far, I love everything except Tom Paris. And I suspect Neelix may become annoying if he's overused, but we'll hope that won't happen.

So, any advice for a new Voyager watcher? Especially one who's seen only a few episodes of TNG and no DS9 at all?