There's no set answer to this beyond "considerably smaller." Every movie vs. movie will have a different answer, be that a comparison of streaming vs. disc version or even one streaming movie vs. another streaming movie.
The BD version is going to be considerably larger because it contains the added detail that comes with less compression. The disc doesn't have to worry about squeezing through the constrained pipes of some consumers slow(er) broadband connections. The BD author can use up to ALL of the available space on the disc for the movie.
On the other hand, the streaming file author is probably trying to target some arbitrary tradeoff of quality vs. file size to maximize playback capability for even those with relatively slow broadband connections. How do they do this? One way is to squeeze compression much more than disc (which throws out detail). Another way is trade higher quality audio for lower quality. Etc. One can do the same kind of thing by ripping the disc and then putting the squeeze on compression, throwing out various audio options, etc to turn a large file into a smaller file (albeit by sacrificing visual & audio quality).
For a blanket guess at a generic answer to this question, I'm going to guess that the target will generally be to make the streaming version about 2/3rds or more smaller than the same movie on disc. But maybe some people who have the discs can compare to the iTunes versions and start offering some specific numbers. I expect such comparisons to be all over the place because- compressed or not- different movies will have different outcomes even with the same compression variables applied. For example, if my guess is right, this means I would expect some streaming versions to weigh in at maybe 15%-20% of the disc version while others might get up toward 40%-50%, averaging out to about 1/3rd over many movies. But again- just a guess.