PS3 PSN itself? I wasn't able to find anything on that but it looks like a few PS3 games online are going down
https://www.playstation.com/en-gb/legal/gameservers/
PS3 – Warhawk
Online servers for Warhawk will be shut down on 31st January 2019 at 08:00am GMT. As Warhawk is an online-only title, this shutdown means that the game will no longer be playable unless the PS3 system is set to LAN mode, as only local network play will function.
There are others via that link