Is there any tool that can create a logic circuit equivalent to some Verilog code?
Just about any FPGA/PLD tool should be able to do that.
In the somewhat obsolete Xilinx ISE Project Navigator that I currently have open the first item under Synthesize is "View RTL schematic". Selecting this brings up a diagram of the created logic.

Every synthesis tool I've used has had a similar option somewhere. As with any auto-generated schematic the results are never very neat but they are there.