This is incorrect - Redhill to Tonbridge has been cleared for DOO(P) for stock with bodyside cameras. This line is almost exclusively operated by 377s, which have cameras, so pretty much all trains are covered by this. Due to the nature of the stations at Redhill and Tonbridge, platform staff dispatch DOO trains at these two locations at all times. If 375s (or other trains without cameras) are required to run on the route, a conductor/guard must be provided.
However, Southeastern drivers work this route extensively and they are not trained to use the DOO monitors on 377s and must therefore be dispatched by a Southern or Southeastern conductor at all times. Southeastern conductors will also dispatch Southern drivers. Southeastern's Tonbridge & Hastings crews work this route to retain route knowledge and to balance crews at London termini. In addition, Southern's Redhill drivers and Selhurst conductors sign the route.
As for stations being unmanned, all stations are now equipped with TVMs and are within the GTR Penalty Fares scheme, although discretion is often required due to unclear signage remaining at a couple of stations, and due to the lack of nearby station staff to maintain the machines (this is done by local station management and maintenance staff on various patrols).
To answer the original query, I can't give a full list as I don't have the rosters of both TOCs to hand, but a lot of the early morning, late-lunchtime and evening peak time services (in particular) have conductors.
