I needed a second bridged connection in VMware Workstation but kept getting the error "Cannot change network to bridged: There are no un-bridged host network adapters".
Looks like quite a few people have had this issue too but with no resolution, apart from hitting the "Restore Default" button, which didn't actually solve it anyway. The solution is very simple.
Open the Virtual Network Editor. The VMnet0 adapter by default will be Bridged and the external connection will be Auto-bridging. This is the problem. Change VMnet0 so that it uses a specific network interface. You can then create another bridged VMnet adapter.