No I watch ST to relax also (and I don't watch anything else). But I just say some of them.
For example, there is this one episode that develops a bit strange. Piccard shouts "shut up Weasley" and blindly ignore the fact that Data is acting weird. Of course that's the plot, but I don't find it convincing.
Also, the episode Hide and Q (I like Q character), it's a bit trivial in script writing compared to today understanding. However, Q comes back at the end of the next generation and make a profound appearance (he puts Piccard on a trial because he is interested in Piccard as a superior human which is a nice thing because he and the Q continuum regards publicly human as an inferior species).
I just say that there is "some" plot holes but overall, it's still something I'd stick to.