I actually bought some noth face zip off trousers that fitted that description. I think they are the "Horizon" "Pants"
They have a beltloop and drawcord for the waist, a zipped fly with a popper, not button.
They have the two "conventional" pockets and a zipped "phone" pocket just behind the right hand side - that takes a passport comfortably without getting in the way when sitting down. There is a rear zipped pocket and one with a velcro closure.
There are no cargo pockets, which as you say is usually a good thing.
I find the cut pretty good. In fact I have sometimes worn them as trousers, and appreciated the slight articulation at the knees - usually theyremain as shorts.
The downsides are that the fabric is ripstop nylon and feels like it, and the shorts do have that slightly annoying zip.