Originally Posted by
stut
If you really, really want lots of rail:
Piccadilly Line to Acton Town
District Line to Turnham Green
District Line to Richmond
Train to Clapham Junction
Train to Guildford
You could also change at Earls Court and West Brompton to take in some fine old tube stations and the London Overground.
You could also do a variation of this by taking the Heathrow Connect to Ealing Broadway, and picking up the District line there.