There is a version of the Warszawianka in Faroese, but unfortunately I couldn't find an audio recording of it. Couldn't find an Internationale either. :/

I'm also not too sure about some of these songs. Most of them are either performed by socialist groups or are credited to a socialist Faroese poet named Maurentius Sofus Viðstein.

Credits to u/squid_wharf for song names!

0:04 Til Ungdommen (Norwegian song, performed by Faroese group)
3:34 Frændur - Sangur til frælsi
4:53 Vårvisen (Danish song, performed by Faroese group)
6:36 Boðar tú til allar tjóðir
9:27 Unknown
11:17 Unknown
15:27 Javnbjóðis atgongd fyri øll
16:23 Gev okkum fýra ár afturat [Give us four years back]
17:35 Drívur døgg um døkka grund
19:25 Drívur døgg um døkka grund (Alternative Version)
21:28 Í hvørjum nærkast mín burturferð
26:52 Sól til viðar rann