No, straight razors are not illegal, however, you need to make sure that you are using the right kind of razor. There was a time when straight razors didn’t have replaceable blades and those razors were illegal because it was unhygienic and dangerous. However, nowadays anyone using a straight razor will have to replace the blades and if your barber doesn’t do it, it means they are breaking the law. High quality straight razors are easily available nowadays, and if you are interested in buying it, there is nothing stopping you to go and make that purchase.