What is the difference between `anyway’ and `anyways’?

As far as the meaning is concerned, there is no difference between the two words.

`Anyways’ is mostly used in American English and is considered non-standard. If you use it in informal contexts in your speech, you could probably get away with it. The word will not be accepted in writing. The word `anyhow’ has the same meaning as `anyway’.

*Anushree says that she doesn’t want to get married. Not now, anyway/anyhow.

Source: The Hindu ‘Know Your English’ Series, November 21, 2005.