Honestly, I do think that there are a lot of things we could agree on.
As for DS9 which is also mentioned in this thread, I'm still surprised by the hostility some "niners" show against Voyager. OK, the series were very different but so were also DS) and TNG.
Due to stupid policy from a TV station where I live who only did air one season of DS9, I haven't seen more than season 1 and occasional episodes after that so I'm not in the position to come up with a fair review of the series. But I do think that Voyager had the better characters.
OK, DS9 had some very interesting characters, like Kira, Odo and Quark. But the others were basically the same typical Starfleet people which we have seen in TOS and TNG. In my opinion, the Voyager characters had more interesting background stories in many ways and were more unique too. I also find Voyager's original premise about a lost starship more interesting.
I'm not putting down DS9 in any way, I just liked Voyager better but I guess that's personal taste.
But I still cant understand why some "niners" find Voyager so repulsive. Are the series really that different?