"Any case" is a phrase that is commonly used in the English language when referring to a situation or circumstance. However, it does not mean there are no other synonymous words or phrases. Some examples include anyways, regardless, nevertheless, anyhow, at any rate, in any event, whatever happens, come what may, without fail, and all the same. While these words and phrases may not be exactly similar to "any case," they all connote the idea of dismissing certain factors or other alternatives and focusing on what is pertinent at the moment. It is always helpful to have a range of synonymous words or phrases in your vocabulary, as it can help you express yourself accurately and effectively.