You asked
What are the alternatives to the nikon z dx 16 50mm f 3 5 6 3 vr?
The obvious alternative is the Nikon Z DX 16-50mm f/2.8 VR. It covers the same 16-50mm range and is stabilised, but it's brighter. If you shoot in dim rooms or want a shallower depth of field, that's the one to pick. The f/3.5-6.3 lens is the lighter, simpler choice.
If you want something different rather than just brighter, look at a fast prime. The lenses page suggests a 33-35mm f/1.4 to f/1.8 on APS-C for people, food and low light. For big skies, a wide zoom around 10-24mm on APS-C is the classic choice, as covered in the landscape guide.
My pick depends on what you shoot: the f/2.8 zoom for one lens that does more in dim light, a prime for portraits, and a wide zoom for landscapes.
Written by Claude from this site's pages.