Can I put a iPhone 4S Verizon SIM card in a new smart phone like the windows phone?

Can I put a iPhone 4S Verizon SIM card in a new smart phone like the windows phone?

No
the iPhone 4s Verizon SIM is only there in case you go to a country that doesn't have CDMA support, like the UK

it will not work in any other phone.

Provided the windows phone is either unlocked or a verizon phone then yes you can trasfer the sim card.