From what I remember on Southern:
Southern London Bridge (LC):
377, 455
London Bridge-East Croydon (via Forest Hill)
London Bridge-Streatham Common (via Tulse Hill)
London Victoria-Caterham (via Norbury and East Croydon)
Streatham-Sutton (via Mitcham)
Streatham-Sutton (via Tooting and Wimbledon)
Tulse Hill-Beckenham Junction (via Crystal Palace)
Balham-Sydenham (via Crystal Palace)
Crystal Palace-Norwood Junction
Norwood Junction/Selhurst-Dorking (via West Croydon and Sutton)
Sutton-Epsom Downs
Purley-Tattenham Corner.
Diversionary routes:
Leigham Spur (Tulse Hill-Streatham Hill, usually used by ECS moves)
Depots/sidings:
Selhurst Depot
Streatham Hill sidings
Epsom Down Sidings
*London Bridge Drivers used to sign to East Grinstead but I believe that's no longer on their tickets.
Victoria (VC):
377, 455
London Victoria-East Croydon (via Norbury)
London Bridge-East Croydon (via Forest Hill)
London Bridge-Tulse Hill (via Peckham Rye, Link 2 only)
Balham-Norwood Junction/Sydenham (via Crystal Palace)
Crystal Palace-Beckenham Junction (Link 2 only)
Tulse Hill-Streatham Common (Link 2 only)
Streatham North Junction-Sutton (via Mitcham Junction)
Norwood Junction/Selhurst-Dorking (via West Croydon and Sutton)
Sutton-Epsom Downs
South Croydon-East Grinstead (via Oxted)
Peckham Rye-London Victoria (via Denmark Hill and Stewarts Lane, link 2 only)
East Croydon-Brighton (via Redhill and Quarry Tunnel, link 1 only)
Keymer Junction-Ore (via Lewes and Eastbourne, Link 1 only)
Brighton-Lewes (via Moulscoombe, Link 1 only)
Brighton-Littlehampton (via Hove and Worthing plus spur from Preston Park, Link 1 only)
Three Bridges-Bognor Regis (via Crawley and the Arun Valley, Link 1 only)
Dorking-Horsham (via Holmwood, Link 1 only)
Diversionary routes:
Leigham Spur (Tulse Hill-Streatham Hill, Link 2 only)
London Victoria-Tulse Hill via Brixton and Herne Hill
Peckham Rye-London Victoria (via Denmark Hill and Stewarts Lane, link 2 only)
Depots and Sidings:
Selhurst Depot
Streatham Hill depot
Stewarts Lane Depot
Epsom Down Sidings
Victoria Carriage sidings
Battersea Pier Carriage sidings
Norwood (NW):
171 (Links 1 and 2 only), 377, 455
London Bridge-East Croydon (via Forest Hill)
London Bridge-Streatham Common (via Tulse Hill)
London Victoria-Purley (via Norbury and East Croydon)
Streatham-Sutton (via Mitcham)
Tulse Hill-Crystal Palace
Balham-Sydenham (via Crystal Palace)
Crystal Palace-Norwood Junction
Norwood Junction/Selhurst-Dorking (via West Croydon and Sutton)
South Croydon-East Grinstead (via Oxted)
Purley-Tattenham Corner (Links 2 and 3 only)
Hurst Green-Uckfield (Links 1 and 2 only)
Dorking-Horsham (via Holmwood, Link 2 only)
Clapham Junction-Milton Keynes Central (via Kensington Olympia, Link 1 only)
Norwood Link 1 used to sign the Brighton Mainline all the way to Brighton (both ways via Redhill/Quarry Tunnel) but lost their Brighton work in May 2018 I believe.
Diversionary routes:
Leigham Spur (Tulse Hill-Streatham Hill)
Streatham Common-Imperial Wharf (via Herne Hill, Brixton and Factory Junction Link 1 only)
Depots and Sidings:
Selhurst Depot
Streatham Hill depot
Epsom Down Sidings
Selhurst (SU):
377, 387 (Link 1 only), 455
London Bridge-East Croydon (via Forest Hill)
London Bridge-Streatham Common (via Tulse Hill)
London Victoria-Caterham (via Norbury and East Croydon)
Streatham-Sutton (via Mitcham, Links 1-3 only)
Streatham-Sutton (via Tooting and Wimbledon, Link 1 only)
Tulse Hill-Beckenham Junction (via Crystal Palace)
Balham-Sydenham (via Crystal Palace)
Crystal Palace-Norwood Junction
Norwood Junction/Selhurst-Dorking (via West Croydon and Sutton, Link 4 don't sign beyond Epsom)
Sutton-Epsom Downs
Purley-Tattenham Corner.
East Croydon-Reigate (via Coulsdon South and Redhill, Link 3 only)
East Croydon-Brighton (via Redhill and Quarry Tunnel, Link 1 only)
Dorking-Horsham (via Holmwood, Link 1 only)
Three Bridges-Horsham (via Crawley, Link 1 only)
Leatherhead-Guildford (via Effingham Junction, Link 2 only)
Diversionary Routes:
Leigham Spur
Streatham Common-Victoria (via Herne Hill and Brixton, Link 1 only)
Depots and Sidings:
Selhurst Depot
Streatham Hill sidings
Stewarts Lane Depot (Link 1 only)
Epsom Down sidings
Caterham Sidings
Caterham (CT):
377, 455
London Bridge-East Croydon (via Forest Hill)
London Victoria-Caterham (via Norbury)
Purley-Tattenham Corner
London Bridge-Streatham Common (via Tulse Hill)
Balham-Sydenham/Norwood Junction (via Crystal Palace)
Norwood Junction/Selhurst-Epsom Downs (via West Croydon and Sutton)
Epsom (ES):
377, 455
London Bridge-East Croydon (via Forest Hill)
Victoria-Caterham (via Norbury)
Purley-Tattenham Corner
Balham-Sydenham/Norwood Junction (via Crystal Palace)
Selhurst/Norwood Junction-Horsham (via West Croydon, Sutton and Dorking)
Sutton-Epsom Downs