They do have push buttons to set up pairing when first connected, and they do have passwords. When I set up the powerline adapters I used the push button to pair them. In theory that means they have set up a private network and my neighbours' powerline adapter should not be able to talk to them. In practice it seems that may not be the case. I will use the TP-Link utility to explicitly create a private network and see whether that makes a difference.
If your neighbour has powerline adapters, and pressed his pair button at the same time, then they would have all paired together joining his wired network to yours. This may seem unlikely, but from what you've said this is not an ordinary problem. You also need to ensure that you enable
encryption enabled on your powerline adapters. This will ensure that he can't join your network.
Looking at the big list of MAC addresses you posted, here is some more details on the "unknown" devices - the first 6 characters of each MAC is vendor dependent and indicates who manufactured the networking chips used in a piece of equipment.
c0-a0-bb D-Link
14-cc-20 TP-Link
28-c6-8e Netgear
00-40-9d Digiboard INC (these guys also make networking stuff:
https://en.wikipedia.org/wiki/Digi_International)
00-23-76 Digiboard INC
00-1f-16 Wistron (these guys make tablets and notebooks for other companies - used to be part of Acer)
bc-30-7e Wistron
94-e9-6a Apple
0c-30-21 Apple
18-5e-0f Intel
68-94-23 Hon Hai / Foxconn (this company make consumer electronics for just about everyone - including Apple)
30-59-b7 Microsoft
7c-ed-8d Microsoft
00-13-a9 Sony
00-21-ed Telegesis (Home automation stuff)
f0-a2-25 Unknown (Private address range - no idea what this would be)
There's at least 3 different bits of networking kit there for definite (D-Link, TP-Link, Netgear), and the Digiboard devices could be network devices too.
Anyway, as others have said - I would definitely start by switching off your powerline adapters and see what happens.