VHDL and Verilog are competitors and both are for digital design.
With Verilog-A you can program in your analog design some ideal digital cells.
Verilog-AMS is for mixed simulations.
I use verilog for purely digital stuff.
VHDL is used mainly in Europe and Japan.
Not much in the US. Verilog-A to model analog stuff
when I need speedy sim time. Have not used Verilog-AMS yet but I think Verilog A is a subset of AMS.