315s, they don't do much apart from all-stations stuff out of Liverpool Street, although I think they have some random workings like the 0400 Southend Victoria to Liverpool Street. Stuff like Liverpool Street to Enfield Town, Liverpool Street to Shenfield, mostly services like those for the 315s from memory. Someone else may be able to advise differently though.
150s, they have a lot of work through the country. Depends what you define 'good routes' to be, but they work all over the Valley Lines in South Wales, as well as the Conwy Valley route from Llandudno Junction to Blaenau Ffestiniog, the Heart of Wales from Swansea to Shrewsbury via Llandrindod also sees 150s work the route as well as 153s. Just three routes I think of that see 150s working, but their work is quite extensive throughout the UK.
317s, there's a 1702 Liverpool Street to Norwich and 1930 return sees up to a trio of 317s on it. Quite the distance each way (105 miles I think each way), no idea what the stopping patterns are like but should involve some fast running.
Any other classes you want to go on during your ALR?