I've remixed and modded the three dice tower parts I've remixed from, resized it to print on a printer that can handle 158mm total height, and fits the water bottles commonly sold at Walmart and grocery stores in the U.S.A. (I had a huge pain of a time trying to find the bottles listed in other versions of the tower.) I'm including a picture of the water bottle to help people find it.
After my remix, the bottle can now be sliced along the top of the label (leave the label on until all cutting is complete). Then it can be cut just below the bottom of the label (there are two narrow lines that bump down into the bottle. I do the second one, further from the label. Then I remove the label.
I also merged parts together and such to make it stronger, and require no gluing, apart from the very top to the top of the stairs. (I was making this for some gifts for friends, so I wanted a quicker way to just print everything in one - I figure it might help some other people out there as well.)
It'll require a print bed of at least 137mm x 137mm, with at least 158mm height printable.
I appreciate Lau85 for making his and putting it out there, as well as the remixers.
Update: I've added a modded version of the top that is much larger. After playing with my tower for a game session, I realized that it would be nice to be able to hold the dice right on the tower, and since they can be dropped directly down into the hole, it was a better use of the top to hold dice. I also replaced the .OBJ version of the bottom with an .STL version, just so Thingiverse shows the picture of it.
Update 10/9/2018: I'm adding a modified version of this that has a railing down the stairs. This version requires a 6" x 6" print bed, but uses the same tops (take your pick), and no longer requires a bottle of any kind. Just print this base, choose one of the tops and print it, and you are done. What I like about this one is that you can store more dice on the back bottom area.
Update 10/10/2018: I split apart the stairs, squished them and made a double spiral of them, then redid the railing for a new version that has a double spiral. I like this one the most. It takes the dice a little longer to get down, and you can see them moving down there (not that they move so slowly that you can stare at them for 5 seconds or something, it's still rapid). Tested it a bunch of times and it works like a charm. Note that if you print this one, there is NO aligning dot on the top. You will want to "dry test" putting the top on, and rotate it around while testing with your largest dice to ensure they fit down (if you rotate a bit, a d30 works fine, but you lose the top few steps).