Websites need to be looked at periodically to ensure they're fit for the internet. More specifically, a website is more often than not the first impression of your business. If certain parts don't work or some links are broken for example, the website is not fit for purpose.
To add to the mix, there are several web browsers to choose from these days, and although your website may work in some of them, it may not work in others. If that's the case, you could be alienating hundreds or thousands of visitors every week.