In my case, it was so rare that I got DVDs that it wasn't worth the cost of continuing that. I've just dropped rented DVDs from my viewing all together (though there's also a Redbox that I go by every single day so that's an option).
As for streaming, most of what I want to watch I can also get for free via Amazon Instant with my Amazon Prime account, which I would be paying for anyway and the occasional movie or show that isn't included free evens out to no more than I was paying for Netflix.
I also realized that I would watch a lot of TV shows on Netflix and then buy them on DVD/blu-ray at a later date, so I just buy the DVDs/blu-rays, which requires a little more patience (box sets are expensive so I don't buy them everyday) but it turns out that waiting a month or two has no significant impact on my life. ;)
Shows that are currently airing, some documentaries, kids movies, etc. we watch on Hulu for free. They only offer the last 5 episodes of the season on the free account, but if you don't get behind, that's all you need.