Yes, pretty much any modern DSL (ADSL) modem will work with every provider. The ADSL spec is up to 8 mbit/s, ADSL2 up to 12 mbit/s, ADSL2+ up to 24 mbit/s.
You mainly need to know your username/password, and the method of authentication, PPPoA, PPPoE, or IP via DHCP. And also the VPI/VCI...