Star Trek is a great franchise. On average, you get a pretty good product. There's some garbage in there, but an average episode is good, and the best episodes are some of the best Television ever made.
The Original Series is good for multitasking. You can "watch" the show and read a book, make a blog post, or whatever, and not miss anything. For a show that was once radically progressive, the show seems ludicrously sexist. The skirts in particular are ridiculous, and the costumes for alien females are even worse. All the men wear little high-heeled boots, so it's not all on the women, I suppose.
I've been thinking about how you could make a Star Trek Draft game, where you draft a crew from the shows. Then each crew would go through challenges, like episodes of the show.
Redlettermedia.com's analysis of the Star Trek movies says most of what I think. He gets pretty picky with little details that you wouldn't notice unless you were looking for them, but his complaints about the films' tone is the important thing. it's all violence and death, with no intellectual or ethical thought whatsoever. Star Trek can't win by being a half-assed version of other movies, it has to be what it is.
The new movie may seem to be a contradiction to this system. After all, it made a lot of money, and was pretty OK, quality-wise. The reason that it's successful isn't that it's all action-ey and stuff, it's because it has a huge budget. If they had spent all this money on something true to the spirit of Star Trek, they could have made something immortal, not just a generic Sci-Fi with the Star Trek characters thrown in.