TechnoPro, your assumption is wrong. There are A LOT of standards in the DSL world and lot of different ways of using things, and the result is that a modem (or router) from one DSL provider might or might not work on another. This is especially a problem on SDSL -- in the ADSL world G.DMT seems to have won and it appears to be more standard. It's a real mess, so the simple answer is to just get whatever modem your provider gives out.
Frankly, the best way to get a replacement DSL modem is to check EBay and find a used one for the same provider.
In contrast, the early folks doing cable modem stuff put a lot of effort into ensuring that there was one real standard - DOCSIS. This in turn came about because the cable industry has Cable Labs, which is their R&D/standards group. In the telco space, there was Bell Labs and Bellcore, but with all the breakups they lost their importance, and the CLECs hardly card about standards anyway. The politics of the telco space as compared to the cable space is part of why DSL is a standardization mess while cable modems are pretty standardized.