The anthem (although I don't know that it is actually the anthem of any one country) that always brings tears to my eyes is "God Bless Africa" no matter the language it's the music that does it to me every time and the word "Africa" sung so drawn out and prayerful. I like the national anthem of Zimbabwe too.
Classics are, of course, "The International" and "La Marseillaise" Great songs.
Always touching to me is The Star Spangled Banner and also our unofficial anthem, America the Beautiful, because it is pastoral rather than military and has such lovely words.
I hadn't actually heard the Italian national anthem, but listened to it because of this thread. It's rollicking and jaunty. It does seem it would be fun to sing.