Then get the regular Z5. That one has a 5" screen.
5.2" actually. Same size screen as the LG G2 but substantially taller, a little wider and heavier (though a bit thinner).
I reckon it would be easily possible to design a phone with a 5" screen which was in the region of 135mm tall. Obviously not what the manufacturers are looking to produce at the moment. I think this is led by the Chinese love of phones with screens of 5.5"+!
Note, this isn't a specific criticism of the Z5 which I expect will be a very good phone, but I use a Huawei P8 at the moment and this is a little smaller in every dimension than the Z5 with a similar 5.2" screen and OIS support on the camera. I'd still say that this phone is a bit too tall - difficult to get out of your pocket sometimes, though not overly unwieldy. I think that, to some degree, thickness and weight as probably as important as the outright dimensions of phones these days. A thinnish phone around 150g can easily be carried in a trouser pocket and I sometimes have to check to see if I remembered to take it with me when I head out the house!