It is worth noting that this songs (particularly first few brought by Wurger) bring a very different polish from current one, the accenting is very different and some of the words are no longer in use. Personally I find it very unique and beautiful, unlike the "modern" language which takes way too much from English.
Here I found some pre-war songs of polish military :
A March of Polish Airman which in 1937 was adopted as official March of Polish Air Forces
View: https://www.youtube.com/watch?v=pCJDykIjJ7s
Here is a combination of various songs popular in Army, which are coming from WWI Polish Legions - "Shooters March", "Green meadow", "And our battery" (keep in mind that those are rough translations of the titles done by me, so they may not be that precise
)
View: https://www.youtube.com/watch?v=s9-V3t0A4Ks
A March of Squadrons of Border Protection Corps
View: https://www.youtube.com/watch?v=bTJbU4PY2nA
And here is something I am not sure how to translate so better will leave it without a translation
View: https://www.youtube.com/watch?v=0bVZAljZQ74
A certain problem here is that many many songs popular in polish military were forgotten as you may imagine post war, since they were "politically incorrect" and dated back to the despised fascist pre war army, while new military was having its own legend created in the East. There were also those songs particularly unique to the specific units - example here could be "Żurawiejka" which was a short, two-line facetious couplet, written specifically for cavalry regiments of the Polish Army, it humorously and ironically presented history of a given regiment, as well as its contemporary fate. They were not really known to soldiers but mostly the officers, as being unofficial you'd rather hear them during some heavy drinking of the officers
View: https://www.youtube.com/watch?v=TNdy0ea6gc4
If I will find more than certainly will post it, but Wurger already did a great job covering the more popular ones