I do not think you have an option if you are looking at a new razor or one made in the last several years. As far as I know TI switched their production to a new steel they advertise as C135 or carbonsong.
Before then they often advertised their steel as 'silver steel' and used 'sheffield'. They had a limited run of pattern welded damascus and in the distant past they made stainless steel razors too. Of course, there is also the TIPTLE series with steel purportedly from the 1800s forged by Pierre Thiers himself.
I am not sure if they still use lead baths in their heat treatment, but they used to do that before the c135 days and marketed it as a very special traditional way for which they've obtained special exemption from the EU regulations.
In any case if you want something different from C135 at this point you have to look at the secondary market.