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What would you recommend these days? All I know is 2000s software like Shareaza, LimeWire, Gnutella, etc.

As a P2P Skype alternative, there are: Jami (https://jami.net) and Tox (https://tox.chat).

qBittorrent, any public tracker (pirate bay is still alive and well) or query the DHT directly using BTDigg for bonus points.