I noticed that Poland has a great number of entry-level jobs but it seems that none of them is for non-EU citizens.
Unfortunately, the hassle required to get work permits for non-EU citizens means that unless you really bring something to the table, it's easier to simply hire an EU citizen instead. If you become fluent in Polish, then you may have more of a chance - but as it stands, your best bet would be to work for a multinational and then attempt a transfer to Poland.
The problem is that you're applying for entry-level jobs, along with everyone else. And why bother with the hassle of a non-EU citizen who doesn't speak Polish fluently when you can get a EU citizen (with a passport allowing him travel all over Europe with no fuss) who speaks fluent Polish and other languages too?