As far as I'm aware, only the newest 737NG's (end of 2004-present) have the ability for single engine autolands. Anything before that (definitely all classics without HUGS) will be the standard one-engine, one a/p approaches with MUH 135ft.
The brand new NG's have a totally revamped a/p (think it's a RC as opposed to Sperry?) which is DUAL-DUAL. My Company has several of them but we don't actually use the CATIIIB ability due to training costs / software fit, I believe.
