Addiscombe was originally Croydon (Addiscombe Road), and was the original southern terminus of the extended Mid Kent line (initially was to Beckenham Junction, for connection to what become the LCDR); the other lines (to Hayes and Seldson (Road) / Sanderstead) followed later. Until electrification it (A) was the main terminus, with Hayes and Selsdon Road mainly shuttles from Elmers End. The Selsdon Road line was closed during WW1, not reopening (and being electrified) in 1935 - when most of the Mid Kent line Beckenham Junction service was diverted further south. In electric the 'main' southern terminal varied over the years, only concentrating on Hayes relatively recently (late 1960s/1970s?) - all three routes had platforms extended in the SE 1950s ten car train programme - when Addiscombe & Sanderstead became mainly shuttles from EE.
Bingham Road (on the Selsdon line) had its moment of cinematic fame in Tony Hancock's film 'The Rebel', when he boards from the wrong side by stepping through the down train.
Addiscombe always (until near the end) had the advantage of having the depot - the last couple of down shuttles were provided by Hayes trains working to A depot via EE - the last Hayes train would work in service as an extra if the previous connection hadn't been made. Once the depot closed it went down hill, the shuttle had to go north to find somewhere for the night (and ISTR the last couple of Hayes train lost their connections)
Sometime in the mid 1990s - before closure, after Networkers had taken over - the Addiscombe ticket office closed, and John (the ticket seller) did sales on train in the morning peak. When the Addiscombe signal box burnt down, the line went to SLW, initially my morning up train from Addiscombe had a crew of four (on a 466)! - driver, guard, signalman (acting as pilotman), and John selling tickets.